Finite time synchronization of chaotic systems and applications

• Grant number: 14/13272-1
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Effective date (Start): April 01, 2015
• Effective date (End): March 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Hilda Alicia Gomez
• Grantee: Patrick Herve Louodop Fotso
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Associated research grant: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics, AP.ESP

Abstract

The problem of synchronization of chaotic systems has been in the literature for over 30 years, andit has been thoroughly studied although not exhaustively. More or less at the same time appeared the possibility of controlling chaotic motion which was firstly applied to the control of chaotic orbits. Synchronization of systems of many chaotic elements became a necessity due to the possibility of using them in encrypted communications, since they would provide high dimensionality chaos. This area of research has been quite productive because of the richness of processes that will synchronize rather complex systems. But, in spite of that, all systems known synchronize asymptotically. Recently we showed that a couple of chaotic systems can be synchronized in a finite time, not necessarily losing their chaotic dynamics. In this project we attempt to continue this type of study to search of the possibility to apply it to finite time synchrony of networks, with applications to several systems such as networks of neurons during an epileptic seizure.

Scientific publications

(13)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

MISHRA, ARINDAM; SAHA, SUMAN; HENS, CHITTARANJAN; ROY, PRODYOT K.; BOSE, MRIDUL; LOUODOP, PATRICK; CERDEIRA, HILDA A.; DANA, SYAMAL K.. Coherent libration to coherent rotational dynamics via chimeralike states and clustering in a Josephson junction array. Physical Review E, v. 95, n. 1, JAN 4 2017. (14/13272-1, 11/11973-4)

LOUODOP, PATRICK; SAHA, SUMAN; TCHITNGA, ROBERT; MURUGANANDAM, PAULSAMY; DANA, SYAMAL K.; CERDEIRA, HILDA A.. Coherent motion of chaotic attractors. Physical Review E, v. 96, n. 4, OCT 18 2017. (14/13272-1, 11/11973-4)

LOUODOP, PATRICK; TCHITNGA, ROBERT; FAGUNDES, FERNANDO F.; KOUNTCHO, MICHAUX; TAMBA, V. KAMDOUN; PANDO L, CARLOS L.; CERDEIRA, HILDA A.. Extreme multistability in a Josephson-junction-based circuit. Physical Review E, v. 99, n. 4, APR 18 2019. (14/13272-1, 11/11973-4)

NGOUONKADI, E. B. MEGAM; FOTSIN, H. B.; LOUODOP FOTSO, P.; TAMBA, V. KAMDOUM; CERDEIRA, HILDA A.. Bifurcations and multistability in the extended Hindmarsh-Rose neuronal oscillator. CHAOS SOLITONS & FRACTALS, v. 85, p. 151-163, APR 2016. (14/13272-1)

TCHITNGA, ROBERT; NGUAZON, TEKOU; FOTSO, PATRICK H. LOUODOP; GALLAS, JASON A. C.. Chaos in a Single Op-Amp-Based Jerk Circuit: Experiments and Simulations. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, v. 63, n. 3, p. 239-243, MAR 2016. (14/13272-1)

NJOUGOUO, THIERRY; SIMO, GAEL R.; LOUODOP, PATRICK; FERREIRA, FERNANDO FAGUNDES; TALLA, PIERRE K.. Dynamics of Rossler oscillators in a star network with the central node controlled by an external system. NONLINEAR DYNAMICS, v. 102, n. 4, p. 2875-2885, DEC 2020. (14/13272-1)

LOUODOP, PATRICK; TCHITNGA, ROBERT; FAGUNDES, FERNANDO F.; KOUNTCHO, MICHAUX; TAMBA, V. KAMDOUN; PANDO L, CARLOS L.; CERDEIRA, HILDA A.. Extreme multistability in a Josephson-junction-based circuit. PHYSICAL REVIEW E, v. 99, n. 4, p. 5-pg., 2019-04-18. (11/11973-4, 14/13272-1)

MISHRA, ARINDAM; SAHA, SUMAN; HENS, CHITTARANJAN; ROY, PRODYOT K.; BOSE, MRIDUL; LOUODOP, PATRICK; CERDEIRA, HILDA A.; DANA, SYAMAL K.. Coherent libration to coherent rotational dynamics via chimeralike states and clustering in a Josephson junction array. PHYSICAL REVIEW E, v. 95, n. 1, p. 5-pg., 2017-01-04. (11/11973-4, 14/13272-1)

KOUNTCHOU, MICHAUX; LOUODOP, PATRICK; BOWONG, SAMUEL; FOTSIN, HILAIRE; SAIDOU. Analog circuit design and optimal synchronization of a modified Rayleigh system. NONLINEAR DYNAMICS, v. 85, n. 1, p. 399-414, JUL 2016. (14/13272-1)

NJOUGOUO, THIERRY; CAMARGO, VICTOR; LOUODOP, PATRICK; FERREIRA, FERNANDO FAGUNDES; TALLA, PIERRE K.; CERDEIRA, HILDA A.. Synchronization in a multilevel network using the Hamilton-Jacobi-Bellman (HJB) technique. Chaos, v. 32, n. 9, p. 14-pg., 2022-09-01. (14/13272-1)

LOUODOP, PATRICK; SAHA, SUMAN; TCHITNGA, ROBERT; MURUGANANDAM, PAULSAMY; DANA, SYAMAL K.; CERDEIRA, HILDA A.. Coherent motion of chaotic attractors. PHYSICAL REVIEW E, v. 96, n. 4, p. 9-pg., 2017-10-18. (11/11973-4, 14/13272-1)

NGOUONKADI, ELIE BERTRAND MEGAM; FOTSIN, HILAIRE BERTRAND; NONO, MARTIAL KABONG; LOUODOP FOTSO, PATRICK HERVE. Noise effects on robust synchronization of a small pacemaker neuronal ensemble via nonlinear controller: electronic circuit design (vol 10, pg 385, 2016). OGNITIVE NEURODYNAMIC, v. 11, n. 2, p. 1-pg., 2017-04-01. (14/13272-1)

KOUNTCHOU, MICHAUX; LOUODOP, PATRICK; BOWONG, SAMUEL; FOTSIN, HILAIRE; KURTHS, JURGEN. Optimal Synchronization of a Memristive Chaotic Circuit. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 26, n. 6, JUN 15 2016. (14/13272-1)