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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On several bi-Hamiltonian systems
双哈密顿系统 齐次Hamitionan算子 相容三元组
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2023/11/13
Recently, based on the classification of the second and third order homogeneous Hamitionan operators Lorenzoni and his collaborators classified compatible trios of two-component homogeneous Hamiltonia...
Workshop on Dynamics and integrability of nonholonomic and other non-Hamiltonian systems
Workshop Dynamics and integrability of nonholonomic and other non-Hamiltonian systems
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2017/12/20
In recent years there has been a growing interest towards the integrability of systems which, though not Hamiltonian, retain some link to—or common origin with—Hamiltonian systems. One such field is t...
A note on micro-instability for Hamiltonian systems close to integrable
micro-instability Hamiltonian systems close to integrable
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2015/9/25
In this note, we consider the dynamics associated to a perturbation of an integrable Hamiltonian system in action-angle coordinates in any number of degrees of freedom and we prove the following resul...
Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Application to Figure-Eight Orbit
Index and Stability of Symmetric Periodic Orbits Hamiltonian Systems Application to Figure-Eight Orbit
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2015/4/3
Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Application to Figure-Eight Orbit.
A class of integrable Hamiltonian systems including scattering of particles on the line with repulsive interactions
class of integrable Hamiltonian systems scattering of particles line repulsive interactions
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2012/4/26
The main purpose of this paper is to introduce a new class of Hamiltonian scattering systems of the cone potential type that can be integrated via the asymptotic velocity. For a large subclass, the as...
Complete Integrability for Hamiltonian Systems with a Cone Potential
Complete Integrability Hamiltonian Systems Cone Potential
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2012/4/26
It is known that, if a point in $R^n$ is driven by a bounded below potential $V$, whose gradient is always in a closed convex cone which contains no lines, then the velocity has a finite limit as time...
Rabinowitz＇s Saddle Point Theorem and Periodic Solutions of Singular Hamiltonian Systems
Rabinowitz＇s Saddle Point Theorem Singular Hamiltonian systems without any symmetry
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2011/10/18
Using Rabinowitz＇s Saddle Point Theorem ,we get new periodic solutions for singular Hamiltonian systems without any symmetry
Limit-circle invariance of non-symmetric discrete Hamiltonian systems
difference operator deficiency index non-symmetric
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2011/10/12
In this paper, we first give the related important Lemmas, and after discusses the non-symmetric discrete Hamiltonian system, and obtain the limit-circle invariance theorem. The main results contain c...
Homoclinic solutions for a class of non-autonomous Hamiltonian systems with potential changing sign
Homoclinic solutions Critical point Variational methods
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2011/10/12
In this paper we are devoted to considering the existence of homoclinic solutions for some second order non-autonomous Hamiltonian system with the potential changing sign. The proof is based on the st...
Periodic Solutions for Some Second Order Hamiltonian Systems
Second order Hamiltonian systems Periodic solutions Saddle point theorems
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2011/9/25
We use saddle point theorems of Benci-Rabinowitz and Silva to study the existence of periodic solutions with a fixed energy for a few second order Hamiltonian conservative systems without any symmetry...
Discrete conservation laws and port-Hamiltonian systems on graphs and complexes
conservation laws port-Hamiltonian systems graphs and complexes Optimization and Control
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2011/9/1
Abstract: In this paper we present a unifying geometric framework for modeling various sorts of physical network dynamics as port-Hamiltonian systems. Basic idea is to associate with the incidence mat...
Integrable Hamiltonian systems with incomplete flows and Newton's polygons
integrable Hamiltonian system incomplete Hamiltonian flows Newton’s polygon
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2011/9/1
Abstract: We study the Hamiltonian vector field $v=(-\partial f/\partial w,\partial f/\partial z)$ on $\mathbb C^2$, where $f=f(z,w)$ is a polynomial in two complex variables, which is non-degenerate ...
Coherent discrete embeddings for Lagrangian and Hamiltonian systems
Lagrangian systems Hamiltonian systems variational integrators discrete embeddings numerical schemes
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2011/8/25
Abstract: The general topic of the present paper is to study the conservation for some structural property of a given problem when discretising this problem. Precisely we are interested with Lagrangia...
Exact results for anomalous transport in one dimensional Hamiltonian systems
results one dimensional Hamiltonian systems anomalous transport
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2011/9/14
Anomalous transport in one-dimensional translation invariant Hamiltonian systems with short range interactions, is shown to belong in general to the KPZ universality class. Exact asymptotic forms for ...
On a class of three dimensional quadratic Hamiltonian systems
Hamiltonian dynamics quadratic Hamiltonian systems normal forms
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2011/7/26
Abstract: The purpose of this article is to compute the normal form of a class of general quadratic Hamiltonian systems that generalizes naturally Euler's equations from the free rigid body dynamics.