hamiltonian systems
Controlled Lagrangian and Hamiltonian systems
... Next, we show that the method of controlled Lagrangian systems and its Hamiltonian counterpart, the method of controlled Hamiltonian systems, are equivalent for simple mechanical systems[r] ...
152
On stability zones for discrete time periodic linear Hamiltonian systems
... of Hamiltonian systems in the case of total stability (boundedness on R ) means stability preservation against structural perturbations that do not a ff ect the Hamiltonian ...
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On variational and symplectic time integrators for Hamiltonian systems
... Combining the discrete variational principle with the derived numerical flux, we obtain a unified approach to construct time integrators for (non-)autonomous Hamiltonian systems. We have derived both ...
20
Periodic Solutions for Subquadratic Discrete Hamiltonian Systems
... As the author knows, in the past two decades, there has been a large number of papers devoted to the existence of periodic and subharmonic solutions for subquadratic first- order (see [1–3]) or second-order (see [4–8]) ...
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Quantum ergodicity in mixed and KAM Hamiltonian systems
... Hamiltonian systems with mixed phase space decompose into finitely many invariant subsets, only some of which are of ergodic character. It has been conjectured by Perci- val that the eigenfunctions of the ...
149
Time evolution of non-Hermitian Hamiltonian systems
... Hermitian Hamiltonian sys- tems and provide a systematic procedure, which leads to closed formulae involving Euler’s numbers for the equivalence pairs of Hermitian and non-Hermitian Hamiltonians, h and H, ...
26
Existence and multiplicity of solutions for fractional Hamiltonian systems
... Poincare [32] was first to recognize the existence of homoclinic solutions of Hamiltonian systems (1.3) and its importance for studying the behaving on dynamical systems. Follow- ing this existence, ...
17
Hamiltonian systems with nilpotent structures
... Hamiltonian systems have been studied since ea rly in the 19t ^1 century startin g with the equations o f planetary ...the systems in vestigated in the above tex ts are free systems i .... ...
156
Time-frequency analysis based on wavelets for Hamiltonian systems
... applicability of this concept in real signals such as numerical trajectories. The wavelet transform of analytic signals can be used to extract the instantaneous fre- quency of an analytic signal, this is discussed in ...
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Homoclinic orbits for discrete Hamiltonian systems with subquadratic potential
... Lin and Tang Advances in Difference Equations 2013, 2013 154 http //www advancesindifferenceequations com/content/2013/1/154 R ES EA RCH Open Access Homoclinic orbits for discrete Hamiltonian systems[.] ...
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Homoclinic orbits for asymptotically linear discrete Hamiltonian systems
... Discrete Hamiltonian systems can be applied in many areas, such as physics, chemistry, and so ...discrete Hamiltonian systems, we refer the reader to [, ...discrete Hamiltonian system ...
10
Periodic solutions of planar Hamiltonian systems with asymmetric nonlinearities
... Remark . It is noted that there is no requirement of uniqueness of Cauchy problems as- sociated to system (.) in this higher dimensional Poincaré-Birkhoff theorem for Hamil- tonian flows. In [, ], Theorem . is ...
16
Homoclinic solutions for second order Hamiltonian systems near the origin
... Under some local superquadratic conditions on W(t, u) with respect to u, the existence of infinitely many homoclinic solutions is obtained for the nonperiodic second order Hamiltonian systems u(t) – ¨ ...
13
Minimal length in quantum mechanics and non-Hermitian Hamiltonian systems
... non-Hermitian Hamiltonian systems with real eigenvalues; a field of interest initiated around ten years ago by the seminal paper [10] and which is a topic currently also explored experimentally [12], see ...
5
Multiplicity of periodic bouncing solutions for generalized impact Hamiltonian systems
... We call systems, having solutions as in Definition 1.1, impact Hamiltonian systems. When a = 0, the bouncing periodic solutions of (1.1) have been discussed by some schol- ars in recent years. To the ...
14
Theoretical Computation of Lyapunov Exponents for Almost Periodic Hamiltonian Systems
... periodic Hamiltonian systems we will also state the Multiplicative Ergodic Theorem for the symplectic cocycle R(t, x) and hence we do not consider the assumption ...
6
New periodic solutions of singular Hamiltonian systems with fixed energies
... Besides Ambrosetti-Coti Zelati, many other mathematicians [–] studied singular Hamiltonian systems, here we only mention a related recent paper of Carminati, Sere and Tanaka []. They used complex ...
14
New existence of hyperbolic orbits for a class of singular Hamiltonian systems
... The solutions of Hamiltonian systems have been studied by many mathematicians (see [–] and the references therein). In , Chazy showed that there are only seven pos- sible final evolutions in the ...
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Ergodicity and the Numerical Simulation of Hamiltonian Systems P. F. Tupper
... specific Hamiltonian systems [18]. However, the majority of the systems for which ergodicity has been proved are billiard systems, which form a small subset of the systems of interest to ...
25
Exponential Discrete Gradient Schemes for Simulating Stochastic Hamiltonian Systems Preserving Hamiltonian Functions
... of Hamiltonian systems are in general difficult to be found, therefore numerical simulations become an import tool of investigating such ...stochastic Hamiltonian systems, in particular, ...
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