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Master's degree in Nonlinear Dynamics and Complex Systems

Responsible Center: Official Masters School    Location: Campus Mostoles
Modality: Online Title code: 6376 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
E-mail:  

University master's information: Phone: 91 665 5060   Inquiries Mailbox

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:

  1. Average mark of the academic record of the degree with which the master's degree is requested (65%)
  2. Curriculum vitae: research and professional experience in fields related to the master's degree (35%)
  3. 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:

  1. 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.
  2. 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:

  1. Average mark of the academic record of the degree with which the master's degree is requested (65%)
  2. Curriculum vitae: research and professional experience in fields related to the master's degree (35%)
  3. 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

Custom code

Subject

NUMBER OF ECTS

Semester

Type

627401

Complexity

3

2 º

required

627402

chaotic dynamics

6

1 º

required

627403

Fractals

3

1 º

required

627404

Computational Dynamics Laboratory

6

1 º

required

627405

Dynamic models in Biology

3

1 º

required

627406

Synchronization and Control of Chaotic Systems

6

2 º

required

627407

Techniques and Art of Scientific Presentations

3

2 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

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

Quality guarantee

RUCT link

BOCM Link

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.”