Results 221 to 230 of about 337,853 (263)

Periodic Solutions of Hamiltonian Systems

SIAM Journal on Mathematical Analysis, 2000
Summary: Two sequences of periodic solutions with large and small norms, respectively, are obtained for Hamiltonian systems of the type \[ -{\mathcal J}\dot{z}=\xi F_z(t,z)+\eta G_z(t,z), \] where \(F\) is superquadratic at \(z=\infty\) and \(G\) is subquadratic at \(z=0\).
Yanheng Ding, Cheng Lee
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The Existence of Periodic Solutions of Perturbed Periodic Systems

SIAM Journal on Applied Mathematics, 1971
Conditions are obtained for the existence of a periodic solution to $\dot x = f( {t,x} ) + g( {t,x} )$, where f and g are periodic in t. The technique used is the application of a fixed-point theorem to the iterates of the period map.
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Chaos in Periodic Discrete Systems

International Journal of Bifurcation and Chaos, 2015
This paper focuses on chaos in periodic discrete systems, whose state space may vary with time. Some close relationships between some chaotic dynamical behaviors of a periodic discrete system and its autonomous induced system are given. Based on these relationships, several criteria of chaos are established and some sufficient conditions for no chaos ...
Yuming Shi, Lijuan Zhang, Panpan Yu, Qiuling Huang   +3 more
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Length of the Period of the Periodic System

Nature, 1951
IF each period in the periodic system ends in a rare gas (H,He 1st period, Li—Ne 2nd, etc.), then the number of elements in a period can be found from the ordinal number of the period by the following formula: where n is the number of the period and L is the number of elements in ...
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Overtaking in Asynchronous Periodic Systems

Formal Aspects of Computing, 1999
Abstract. In this paper, we investigate the structure of the asynchronous behaviour of systems of cyclical, deterministic sequential processes. Specifically, we find conditions which, under certain finiteness assumptions, characterise periodic behaviours and pseudo-periodic behaviours, where a behaviour is periodic if it goes through a ...
David H. Pitt, M. W. Shields
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Periodic Solutions of Periodic Competitive and Cooperative Systems

SIAM Journal on Mathematical Analysis, 1986
Many mathematical models in the biological sciences give rise to the system \(x_ i'=F_ i(x,t)\), \(1\leq i\leq n\), \(x=(x_ 1,x_ 2,...,x_ n)\). The system is said to be cooperative or competitive according as \(\partial F_ i/x_ j\geq\) or \(\leq 0(i\neq j)\).
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Periodic and Unbounded Solutions of Periodic Systems

Bulletin of the Malaysian Mathematical Sciences Society
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Scaling for a Periodic Forcing of a Period-Doubling System

Physical Review Letters, 1984
no ...
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Almost Periodic Solutions for Limit Periodic Systems

SIAM Journal on Applied Mathematics, 1972
A system of ordinary differential equations with limit periodic t-dependence has associated with it a sequence of approximating systems with periodic t-dependence. If each of these approximating systems has a periodic solution, sufficient conditions are given on these solutions under which the original system has an almost periodic solution. Additional
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On the Periodicity Conjecture for Y-systems

Communications in Mathematical Physics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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