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Periodic Solutions of Periodic Systems
1994In this chapter we study the existence, stability and isolation of periodic solutions belonging to n-dimensional systems of periodic nonlinear differential equations of the form ẋ = f (t, x) where f is periodic in t with some period T > 0: f (t + T, x) = f (t,x).
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Journal of Optimization Theory and Applications, 2011
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System Equivalence for Periodic Models and Systems
SIAM Journal on Control and Optimization, 1995This paper studies periodic discrete-time systems. Two representations are studied: state space representation and the analogous of Rosenbrock's polynomial matrix description. The paper studies the properties of the polynomial matrix description first. In particular, it defines the zeros and the strict system equivalence. The main result is a necessary
Grasselli, Osvaldo M. +2 more
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Stability study of a periodic system by a period-to-period mapping
Applied Mathematics and Computation, 1996The investigated dynamical system is described by a set of \(N\) ordinary differential equations where the right-hand side is periodic in \(t\) with period \(T\). Poincaré's point mapping is applied for the stability study; for this purpose the notion of the P-K solution of the point mapping is introduced.
Guttalu, Ramesh S., Flashner, Henryk
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On P systems and almost periodicity
Fundam. Informaticae, 2005Summary: The study of P systems as a mathematical model for biological systems is an important research topic in the area of membrane computing. In this respect, the detection of periodicity and almost periodicity as aspects of the system dynamics seems to be of particular relevance for understanding many biological processes and their related ...
BERNARDINI F. +2 more
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Periodic perturbation on a period-doubling system
Physical Review A, 1983The effect of a periodic perturbation on a nonlinear dynamic system undergoing a sequence of period doublings is investigated. The results obtained from linear response theory and from numerical calculations resemble the observations made by Giglio et al. on Rayleigh-Benard convection.
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2019
In ancient Greek times, philosophers recognized just four elements—earth, water, air, and fire—all of which survive in the astrological classification of the 12 signs of the zodiac. At least some of these philosophers believed that these different elements consisted of microscopic components with differing shapes and that this explained the various ...
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In ancient Greek times, philosophers recognized just four elements—earth, water, air, and fire—all of which survive in the astrological classification of the 12 signs of the zodiac. At least some of these philosophers believed that these different elements consisted of microscopic components with differing shapes and that this explained the various ...
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Periodic systems largely system equivalent to periodic discrete-time processes.
Kybernetika, 2001Summary: In this paper, the problem of obtaining a periodic model in state-space form of a linear process that can be modeled by linear difference equations with periodic coefficients is considered. Such a problem was already studied and solved in authors' paper [SIAM J. Control Optimization 33, No.
Grasselli, Osvaldo Maria +2 more
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Periodic orbits in the Rössler system
Communications in Nonlinear Science and Numerical Simulation, 2021Anna Gierzkiewicz, Piotr Zgliczynski
exaly
Stable periodic solution of a discrete periodic Lotka–Volterra competition system
Journal of Mathematical Analysis and Applications, 2003Yuming Chen, Zhan Zhou
exaly

