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Rhythm synchronization and chaotic modulation of coupled Van der Pol oscillators in a model for the heartbeat

dos Santos, Angela M.; Lopes, Sergio R.; Viana, R.L. … - In: Physica A: Statistical Mechanics and its Applications 338 (2004) 3, pp. 335-355

We investigate a phenomenological model for the heartbeat consisting of two coupled Van der Pol oscillators. The coupling between these nodes can be both unidirectional or bidirectional, and an external driving produced by a pacemaker is also included in this model. In order to warrant a robust...

Persistent link: https://www.econbiz.de/10010874180

Metastability in the Hamiltonian mean field model and Kuramoto model

Pluchino, Alessandro; Rapisarda, Andrea - In: Physica A: Statistical Mechanics and its Applications 365 (2006) 1, pp. 184-189

We briefly discuss the state of the art on the anomalous dynamics of the Hamiltonian mean field (HMF) model. We stress the important role of the initial conditions for understanding the microscopic nature of the intriguing metastable quasi-stationary states (QSS) observed in the model and the...

Persistent link: https://www.econbiz.de/10010874227

Synchronization in lattice-embedded scale-free networks

Tauro, Carolina B.; Tamarit, Francisco A.; Gleiser, Pablo M. - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 3, pp. 834-842

In this work, we study the effects of embedding a system of non-linear phase oscillators in a two-dimensional scale-free lattice. In order to analyze the effects of the embedding, we consider two different topologies. On the one hand, we consider a scale-free complex network where no constraint...

Persistent link: https://www.econbiz.de/10010588480

Asset Price Dynamics in a Financial Market with Heterogeneous Trading Strategies and Time Delays

Sansone, Alessandro; Garofalo, Giuseppe - EconWPA - 2005

In this paper we present a continuous time dynamical model of heterogeneous agents interacting in a financial market where transactions are cleared by a market maker. The market is composed of fundamentalist, trend following and contrarian agents who process information from the market with...

Persistent link: https://www.econbiz.de/10005413058

Synchronization of Economic Systems with Fractional Order Dynamics Using Active Sliding Mode Control

Moghadam, Atefeh Marvi; Balochian, Saeed - In: Asian Economic and Financial Review 4 (2014) 5, pp. 692-704

Synchronization of chaos has widely spread as an important issue in nonlinear systems and is one of the most important … branches on the problem of controlling of chaos. In this paper, among different chaotic systems the economy chaotic system has … of fractional-order chaotic systems. The chaos in the economic series could have serious and very different consequences …

Persistent link: https://www.econbiz.de/10010766159

Adaptive–impulsive synchronization of chaotic systems

Wan, Xiaojun; Sun, Jitao - In: Mathematics and Computers in Simulation (MATCOM) 81 (2011) 8, pp. 1609-1617

In this paper, we investigate nonlinear adaptive–impulsive synchronization of chaotic systems. The core of adaptive–impulsive synchronization of chaotic systems is to design suitable nonlinear adaptive–impulsive controllers to attain certain aims. Based on invariant principle of impulsive...

Persistent link: https://www.econbiz.de/10010870194

Adaptive synchronization and lag synchronization of uncertain dynamical system with time delay based on parameter identification

Yu, Wenwu; Cao, Jinde - In: Physica A: Statistical Mechanics and its Applications 375 (2007) 2, pp. 467-482

In this paper, the adaptive synchronization and lag synchronization are considered for uncertain dynamical system with time delay based on parameter identification and a novel control method is then further given using the Lyapunov functional method. With this new and effective method, parameter...

Persistent link: https://www.econbiz.de/10010871643

Synchronization of complex dynamical networks by the incremental ISS approach

Cai, Chaohong; Chen, Guanrong - In: Physica A: Statistical Mechanics and its Applications 371 (2006) 2, pp. 754-766

network of identical nodes, using chaotic nodes as a typical platform. The proposed technique can achieve chaos …

Persistent link: https://www.econbiz.de/10010871715

Cost of synchronizing different chaotic systems

Sarasola, C.; Torrealdea, F.J.; d’Anjou, A.; Graña, M. - In: Mathematics and Computers in Simulation (MATCOM) 58 (2002) 4, pp. 309-327

system is flexible enough to adapt to the structure of the driving system, lower synchronization cost or, eventually …

Persistent link: https://www.econbiz.de/10011050199

Spatiotemporal synchronization in lattices of locally coupled chaotic oscillators

Belykh, V.N.; Belykh, I.V.; Nelvidin, K.V. - In: Mathematics and Computers in Simulation (MATCOM) 58 (2002) 4, pp. 477-492

The paper combines theoretical analyses with computer simulation studies of spatiotemporal synchronization regimes arising in a two-dimensional (2D) lattice of diffusively coupled identical oscillators with complicated individual dynamics. The existence of linear invariant manifolds, defining...

Persistent link: https://www.econbiz.de/10011050247