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Sensitivity computation of periodic and chaotic limit cycle oscillations
Sensitivity analysis linear response adjoint equation unsteady adjoint chaos statistical average
2012/4/19
Sensitivity analysis can be a powerful tool for multi-disciplinary design optimization of nonlinear flow structure interaction. For computing sensitivity of time averaged quantities in chaotic oscilla...
Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise
Euler-Lagrange equation phase response curve limit-cycle oscillators Poisson noise
2011/7/6
We consider optimization of phase response curves for stochastic synchronization of non-
interacting limit-cycle oscillators by common Poisson impulsive signals. The optimal functional
shape for suf...
Asymptotic Limit of a Singularly Perturbed Stationary Diffusion Equation: The Case of a Limit Cycle
Diffusion Equation Limit Cycle
2010/11/23
A limit cycle for a nonlinear ordinary differential equation has a sustained, stationary oscillation in time; Any non-trivial stationary stochastic process also exhibits stationary oscillations in tim...
Limit cycle's uniqueness for second order O.D.E.'s polynomial in $\dot x$
Limit cycle's uniqueness O.D.E.'s polynomial
2010/11/12
We prove a uniqueness result for limit cycles of the second order ODE $\ddot x + \sum_{j=1}^{J}f_{j}(x)\dot x^{j} + g(x) = 0$. We extend a uniqueness result proved in \cite{CRV}. The main tool applied...
Explicit non-algebraic limit cycle for polynomial systems of degree seven
Planar polynomial differential system Algebraic solution
2010/9/13
Explicit non-algebraic limit cycle for polynomial systems of degree seven.
Synchronization of coupled stochastic limit cycle oscillators
synchronization coupled oscillators denoising robustness to noise compartmental model
2010/4/8
For a class of coupled limit cycle oscillators, we give a condition on a linear coupling operator that is necessary and sufficient for exponential stability of the synchronous solution. We show that w...
On the nonexistence of limit cycle for a type of plane differential system
differential systems singular points limit cycles}nonexistence
2009/10/29
Through studying the singular points of the plane differential systems，the sufficientconditions of the nonexistence of Iimit cycle for the system are obtained by means of comparing theorem ，analyzing ...
Stability of limit cycle in a delayed IS-LM business cycle model
IS-LM business cycle delayed differential equations
2010/9/14
In this paper, we extend the work of J. Cai [1] in the nonlinear case using the investment function of the Kaldor-type. Actually we investigate the direction of the Hopf bifurcation and the stability ...
Stability of limit cycle in a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
Delay differential equations stability/unstability
2010/9/14
In this paper we study the stability of the periodic solutions of a model set forth by M. A. Aziz Alaoui et al. [1, 11] with time delay, which describes the competition between the predator and prey. ...
期刊信息
篇名
A cubic system with an invariant triangle surrounding at least one limit cycle,
语种
英文
撰写或编译
作者
刘振海,Szanto
第一作者单位
刊物名称
Taiwanese Journal of Mathematics
页面
7(2), 2003,275-281
出版日期
2003年
月
日
文章标识...