Master's degree in Nonlinear Dynamics and Complex Systems

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Responsible Center: Official Masters School    Location: Campus Mostoles
Modality: Onsite Title code: 6274 Orientation: Research
Number of ECTS Credits: 60 ECTS  Duration of the Master: an academic year
Public prices: See table
Academic calendar    Schedule    Examinations    Teaching Guides  Faculty
Director of the Master: Prof. Dr. Miguel Ángel Fernández Sanjuán. Phone: 91 664 7443/91 488 7125.
E-mail:
University master's information: Phone: 91 665 5060   Inquiries Mailbox

Student attention: Student Help Box Suggestions and complaints box

Basic Information

What knowledge will I acquire with this Master?

Understand the nature of a complex system
Ability to model natural phenomena
Understand the interactions of the Physics of complex systems with other disciplines
Know the analysis tools of a scientific problem, through the development of their critical capacity and the necessary rigor to provide the appropriate solutions to the problems
Know both intellectual and computational techniques to deal with the study and analysis of complex systems
Knowledge of what constitutes a research project, its method, development and presentation of results
Make presentations in public defending a research project and have sufficient presentation and critical capacity
Perform research and group work tasks, acquiring the necessary skills to interact with others
Write research reports on the results of a specific investigation
Get the appropriate techniques that allow you to be up to date with regard to scientific publications and learn how the publishing world works

Is this degree official according to the regulations required by the European Higher Education Area?

Yes (final verification report is attached), starting the first course in the academic year 2017-18.

Final verification report turned out FAVORABLE

Is it necessary to pass an access test?

In the event that the demand exceeds the supply of places, the candidates will be selected according to the following criteria:

Average mark of the academic record of the degree with which the master's degree is requested (65%)
Curriculum vitae: research and professional experience in fields related to the master's degree (35%)
In the event of a tie between candidates, a personal interview will be held to assess their projection in relation to the objectives of the master's degree and commitment to its completion.

What is the minimum number of credits for which I can enroll?

You can see it in the rules of permanence in this link

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The specific qualifications that will facilitate access to the Master are the following:

Graduated in Experimental Sciences
Graduated in Physics
Graduated in Mathematics
Degree in Biomedical Engineering
Degree in Industrial Technology Engineering
Degree in Telecommunications Engineering
Degree in Electronic and Automatic Engineering
Degree in Mechanical Engineering

Objectives

This Master is a beginning of research in Nonlinear Dynamics, Chaos Theory and Complex Systems. Among the objectives of the training received by the master's students is the possible completion of a doctoral thesis in one of the areas contained within the generic area of Nonlinear Dynamics, Chaos Theory and Complex Systems.

Competences

Basic skills:

CB6 - Possess and understand knowledge that provides a basis or opportunity to be original in the development and/or application of ideas, often in a research context
CB7 - That students know how to apply the knowledge acquired and their ability to solve problems in new or little-known environments within broader (or multidisciplinary) contexts related to their area of study
CB8 - That students are able to integrate knowledge and face the complexity of formulating judgments based on information that, being incomplete or limited, includes reflections on the social and ethical responsibilities linked to the application of their knowledge and judgments
CB9 - That students know how to communicate their conclusions and the knowledge and ultimate reasons that support them to specialized and non-specialized audiences in a clear and unambiguous way
CB10 - That students have the learning skills that allow them to continue studying in a way that will be largely self-directed or autonomous.

General skills:

CG01 - Understand the nature of a complex system
CG02 - Ability to model natural phenomena
CG03 - Understand the interactions of the Physics of complex systems with other disciplines
CG04 - Know the analysis tools of a scientific problem, through the development of their critical capacity and the necessary rigor to provide the appropriate solutions to problems
CG05 - Know both intellectual and computational techniques to deal with the study and analysis of complex systems
CG06 - Knowledge of what constitutes a research project, its method, development and presentation of results
CG07 - Make presentations in public defending a research project and have sufficient presentation and critical capacity
CG08 - Perform research and group work tasks, acquiring the necessary skills to interact with others
CG09 - Write research reports on the results of a specific investigation
CG10 - Get the appropriate techniques that allow you to be up to date with regard to scientific publications and learn how the publishing world works

Specific Competences:

CE01 - Know the basic foundations of the Physics modeling methodology of complex systems
CE02 - Learn computational and analytical techniques that allow both to be able to model a problem of complex systems, and to develop the computer program necessary to solve Nonlinear Dynamics problems.
CE03 - Apply the necessary tools to analyze specific problem situations in Biophysics, in Biological Modelling, in genetic networks or in neuron models.
CE04 - Analyze control and synchronization problems that appear in many physical and biological problems or in complex systems in general.
CE05 - Study fractal structures that appear in many complex systems
CE06 - Know the concepts, paradigms and applications of Nonlinear Dynamics methods to numerous scientific problems of an interdisciplinary nature
CE07 - Know a broad panorama both historical and future projection on the science of complex systems
CE08 - Distinguish and solve specific research problems in the physics of complex systems
CE09 - Present works in public in English on topics related to complex systems and interact with other students and researchers
CE10 - Ability to carry out a bibliographic search in specific professional journals in the fields of Physics of complex systems.

Admission and enrollment

Admission:

The requirements for access to the proposed title are according to article 18, of Royal Decree 822/2021, of September 28:

Possession of an official Spanish Graduate or Graduate university degree or equivalent is a condition for accessing a Master's Degree, or, where appropriate, having another University Master's degree, or titles of the same level as the Spanish Bachelor's or Master's degree issued by universities and higher education institutions in an EHEA country that in that country allow access to Master's degrees.
In the same way, people in possession of titles from educational systems that are not part of the EHEA, which are equivalent to a Bachelor's degree, will be able to access a Master's Degree in the Spanish university system, without the need for homologation of the title, but verification by of the university of the level of training that they imply, as long as in the country where said title was issued it allows access to university postgraduate level studies. In no case will access through this route imply the homologation of the previous degree held by the person concerned or its recognition for other purposes than that of carrying out the Master's degree.

Each Master may have its specific access requirements, collected in the information that appears on the Master's website (Access and Enrollment).

The Rey Juan Carlos University does not have specific admission regulations, but is governed by article 16 of Royal Decree 1393/2007, modified by Royal Decree 861/2010, of July 2. Each title has its own general access criteria and special access tests.

Admission to the Master's Degrees will be carried out through a selection process; in some cases, that process may involve a selection test. The Direction of the Master will communicate to the interested parties what the selection test will consist of, as well as the exact date and place of its realization through this application and by means of an e-mail notice.

Enrollment of new students in the Master's Degrees of the Rey Juan Carlos University is done, through the Internet, in a single enrollment period during the month of July, on the dates established and published in the University website.

In the case of vacant places in the University Master's degrees offered in the pre-registration of the ordinary term of July, a second extraordinary registration period is opened, after the corresponding pre-registration period, on the dates established in the month of September.

Selection of applicants:

In the event that the demand exceeds the supply of places, the candidates will be selected according to the following criteria:

Average mark of the academic record of the degree with which the master's degree is requested (65%)
Curriculum vitae: research and professional experience in fields related to the master's degree (35%)
In the event of a tie between candidates, a personal interview will be held to assess their projection in relation to the objectives of the master's degree and commitment to its completion.

General Access Criteria

The specific qualifications that will facilitate access to the Master are the following:

Graduated in Experimental Sciences
Graduated in Physics
Graduated in Mathematics
Degree in Biomedical Engineering
Degree in Industrial Technology Engineering
Degree in Telecommunications Engineering
Degree in Electronic and Automatic Engineering
Degree in Mechanical Engineering

Conditions or special access tests

Criteria for the case that the number of students is greater than 20

In the event that demand exceeds supply, the admission criteria for students to take the Master will be weighted as follows

Academic record 35%
Personal Interview 30%
Additional academic training 15%
Specific adaptation to the master's degree 20%

Offer of places: 20 places. If the minimum number of students envisaged is not reached in a course, the University may choose not to open the teaching group.

See admission and enrollment

Training itinerary

Master's Teaching Guides

ACCESS THE COURSE GUIDES OF THE DEGREE

Training Itinerary

Code	Subject	NUMBER OF ECTS	Semester	Type
627401	chaotic dynamics	6	1 º	required
627402	Fractals	3	1 º	required
627403	Technique and Art of Scientific Presentations	3	1 º	required
627404	Synchronization and control in chaotic systems	6	2 º	required
627405	Complexity	3	2 º	required
627406	Dynamic models in Biology	3	1 º	required
627407	Computational Dynamics Laboratory	6	1 º	required
627408	Fluctuations in dynamic systems	3	2 º	required
627409	Advanced Topics in Nonlinear Dynamics and Complex Systems	3	2 º	required
627410	Master's thesis	24	2 º	TFM

Material resources

Mobility programs

University Master's degrees, due to their duration and characteristics, in general do not specifically contemplate the mobility of their students. However, the Rey Juan Carlos University has different mobility programs for both students and University workers (PDI and PAS) and has procedures for collecting and analyzing information on these mobility programs. The management of all the mobility programs of the University is centralized in the Office of the Vice President for International Relations and any student of the University can participate in them.

URJC Mobility

Regulation

STUDENTS

Students with Functional Diversity
Visiting Students

Scholarships from the Ministry of Education:

CALL FOR SCHOLARSHIPS FROM THE MINISTRY OF EDUCATION COURSE 2022/2023

El scholarship application deadline expands until the 16 of May of 2022. The student must apply for the scholarship even without being enrolled in the next course and even without knowing how many subjects he is going to pass in the current course.

Why is the application deadline advanced?

This way you will know if you meet the economic requirements or not before seeing what you are going to study.

For which studies can you apply for a scholarship?

You can apply for a scholarship if you think you are going to enroll in the 2022-2023 academic year at any of the following levels:

university education for bachelor's and master's degrees.

Not included in this call for scholarships:

Third cycle studies or doctorate
Specialization studies
University titles.

Indefinite subjects at the URJC (TFG, TFM, RAC, Modern Language and External Practices)

In the event that a student has enrolled in the subject of indefinite duration in an academic year and has not been examined, he or she must renew enrollment for successive courses, paying only the secretarial fees and school insurance, if applicable. The student who fails must re-enroll the subject as a second enrollment (third or fourth).

How do Indefinite Subjects affect the Ministry Scholarship?

Students taking indefinite courses (TFG, TFM, RAC, Modern Language and External Practices) They should know that, if you have not applied or they have not graded it in the current course and even if you do not have to pay the registration fee for said subject again in the following course, those credits would count as not passed for the ministry's scholarships.

Example: in the case of Modern Language, the student who has registered for the subject and who has some specific particularity (for example, who is an applicant for the MEC Scholarship) will have to take into account the requirements of said particularity when applying. decide when to enroll in a course of the subject (for example, if the MEC scholarship asks for a % of credits passed over the credits enrolled and the student enrolls but does not enroll in a group, the credits will appear for scholarship purposes as credits enrolled , but not yet passed in that academic year and this may harm you when obtaining said scholarship).

Cancellation, extension or modification of registration for scholarship applicants at the URJC

Those students who have applied for a scholarship must take into account that they can only request cancellation and/or change of subjects, which implies a reduction in credits, within the first set deadline. In the second term they will not be able to request a reduction in the number of credits initially registered.

Change of subjects: All those students who have applied for a Scholarship from the Ministry of Education must bear in mind that, in the second period of modification, they can only request the change between subjects with the same or higher number of credits, in no case lower.

Cancellation of subjects: Those who wish to request the cancellation of subjects already enrolled must check said subjects. All those students who have applied for a Scholarship from the Ministry of Education must take into account that, in the second modification period, it is not possible to apply the cancellation of subjects.

Extension of subjects: The student who wishes to request the extension of subjects in his registration must check said subjects. All those who have applied for a Scholarship from the Ministry of Education must take into account that, in the second modification period, it is possible to apply the extension of subjects.

Important information: Enrollment increase and reduction for students with a scholarship from the Ministry of Education

It will be considered that the student has only full registration when you are enrolled in all the credits corresponding to the course of your training itinerary. In this case, you will be eligible for all the aid from the Ministry of Education Scholarship. On the contrary, if the established number of credits is not reached, they will only opt for the amounts of Registration y Minimum Variable, when considered partial enrollment.

“.The beneficiaries of said scholarships must, in addition, exceed at least 50 percent of the credits or subjects in which they have enrolled, with the exception of scholarship holders of university education of the branches of Sciences and Technical Education that must pass, at least, 40 percent of them. Failure to comply with this last obligation will entail the reimbursement of all the components of the scholarship with the exception of the tuition scholarship”

For students applying for Ministry of Education Scholarshipwill not be taken into account For the purposes of fulfilling the academic requirements, the subjects or credits validated or adapted.

How much money can you receive for your scholarship

The scholarship is the sum of different components. To calculate how much corresponds to you, you must bear in mind that the scholarship consists of a fixed amount of money (fixed amounts) and a variable amount of money (variable amount).

Fixed quantity

It is called a fixed amount because, unlike the variable amount, it is a fixed amount established each year in the call. If you meet all the requirements (general, economic and academic), you can get the sum of all the amounts that we explain below:

COMPONENTS	AMOUNT IN EUROS
tuition scholarship	It will include the amount of the credits for which you enroll for the first time
For family income	€1.700
For change of residence during the school year	€1.600
for academic excellence	50 € - 125 €

Take into account the following remarks:

The price per credit will be the official price set in the 2022/2023 academic year. for academic services depending on the different degrees and universities.
The scholarship does not cover second or subsequent registrations: only the price of the credits in which you enroll for the first time.
It only covers the minimum required credits to obtain the degree.
If you study or are going to study in a center attached to the URJC, the scholarship covers only the public price set by the Decree on Public Prices of the Community of Madrid.

variable quantity

Once we have assigned the fixed amount scholarships to all the people who have requested it and who meet the requirements, we distribute the amount that is left over from the total budget. We do this by means of a mathematical distribution formula that weights, that is, measures, the average grade of your file and your per capita family income.

In any case, the variable amount will be the minimum (60 €) if you enroll for a number of credits between 30 and 59 (partial enrollment) or if you take a double degree, in half of the credits that correspond to the full enrollment

electronic-seat.png.png Access to the call and application to apply for a scholarship

Claims: If you have been required to present documentation, you can do so in person through General Instance , addressed to the URJC Scholarship Service, in the General Registry, Auxiliary Registries or in the places and forms indicated in art. 16.4 of Law 39/2015 of Common Administrative Procedure, or electronically, through the Electronic Registry of the Electronic Office of the URJC

Attention to the applicant: Student help box

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Internal quality assurance system

Composition of the commission

Results report

Once the monitoring of the Master's Degree has been carried out, the most relevant quantitative information on the results obtained in the monitoring of said Degree is displayed, differentiated by academic year.

Report by course:

General information collection plan

Within the quality assurance system of the Rey Juan Carlos University, the following surveys are planned:

- Student profile

- Teacher evaluation

- Degree of satisfaction:

Of the students
of the graduates
From the Faculty
Administration and Services Staff

- Labor insertion

- External internships:

Satisfaction of interns
External tutor satisfaction
Employer satisfaction

Survey results:

Improvement actions

The Quality Assurance System of the Rey Juan Carlos University establishes that the degree's Quality Assurance Commission will annually analyze the information derived from the degree's indicators and prepare a report that will include improvement plans if the results so indicate.

Renewal of accreditation

The renewal of the accreditation represents the culmination of the implementation process of the official Bachelor's and Master's degrees registered in the Register of Universities, Centers and Degrees (RUCT). The renewal of the accreditation of official bachelor's and master's degrees is organized in three phases: self-assessment report, external visit and final assessment.

In the first phase, the university describes and assesses the status of the degree with respect to the established criteria and guidelines. The result is the Self-Assessment Report (IA) that is presented. The second and third phases are carried out by a group of evaluators external to the evaluated title.”

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