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The Forced Damped Pendulum:Chaos,Complication and Control
Forced Damped Pendulum Chaos Complication Control
2015/8/26
This paper will show that a “simple” differential equation modeling a garden-variety damped forced pendulum can exhibit extraordinarily complicated and unstable behavior.While instability and control ...
In this paper, we define a new criterion to identify a dynamical system and apply control laws in a simpler manner. We study chaos synchronization by using linear feedback control laws for generalized...
Analytically control term has been determined to control chaos in the problem of a satellite. Computational studies reveal the suppression of chaos which is in good agreement with the analytical inves...
The chaos and control of food chain model using nonlinear feedback
Food chain Limit cycles Chaotic behavior
2010/9/10
This paper studies the chaos and control of a continuous time food chain model which contains one prey, one predator and super-predator. We show that this system can be asymptotically stabilized using...
Chaos and optimal control of steady-states of tumor with drug
Limit cycles Chaotic behavior Attractors
2010/9/13
This paper is devoted to study the problems of chaos and optimal control of tumor system with drug. The stability analysis of the biologically feasible steady states is presented using a local stabili...
The chaos and control of a prey-predator model with some unknown parameters
Dynamic estimators Attractors Unknown parameters
2010/9/14
In this paper we study the problems of chaos and control of the prey-predator model with some unknown parameters. We will use the non-linear feedback control approach to stabilize this system about it...
Melnikov analysis of chaos in an epidemiological model with almost periodic incidence rates
infective models chaos, Melnikov’s method homoclinic orbit
2010/9/13
In this paper we study the well-known SIR model of epidemic dynamics with an almost periodic incidence rate. We make use of similar techniques utilized in a recent work to establish the existence of c...
ICM can be regarded as a transformation taking the temporal series with length of k into sequence of number with length of k/k2. A quasiperiodic temporal series can be changed to a quasi-periodic sequ...
Bifurcation and Chaos in a Weakly Nonlinear System Subjected to Combined Parametric and External Excitation
bifurcation chaos transversal homoclinic orbit
2007/12/11
In this paper the dynamics of a weakly nonlinear system subjected to combined parametric and external excitation are discussed. The existence of transversal homoclinic orbits resulting in chaotic dyna...