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Journal of Applied Mechanics, Transactions ASME, ISSN 0021-8936, 2014, Volume 81, Issue 8, p. 81012
The first-passage problem of quasi-nonintegrable Hamiltonian systems subject to light linear/nonlinear dampings and weak external/parametric random excitations... 
asymptotic analytical solution | MECHANICS | quasi-nonintegrable Hamiltonian system | Laplace integral method | FAILURE | first-passage problem | Hamiltonian systems | Functions, Entire | Usage | Analysis
Journal Article
Chaos, ISSN 1054-1500, 03/2015, Volume 25, Issue 9, p. 097602
To characterize transport in a deterministic dynamical system is to compute exit time distributions from regions or transition time distributions between... 
SYMPLECTIC MAPS | PERIODIC-ORBITS | MATHEMATICS, APPLIED | PHASE-SPACE | INVARIANT TORI | HOMOCLINIC TANGLES | NONINTEGRABLE HAMILTONIAN-SYSTEMS | ANOMALOUS TRANSPORT | DEVILS STAIRCASE | STANDARD MAP | PHYSICS, MATHEMATICAL | VOLUME-PRESERVING MAPS | Physics - Chaotic Dynamics
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 01/2020, Volume 402, p. 132256
A planar elastic pendulum can be thought of as a planar simple pendulum and a one-dimensional Hookian spring carrying a point mass coupled together... 
Swinging spring pendulum | Hamiltonian systems | Nonintegrable systems | Order-chaos-order transition | Chirikov criterion | MONODROMY | MATHEMATICS, APPLIED | INSTABILITY | PHYSICS, MULTIDISCIPLINARY | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | OSCILLATOR | MOTION | MASS
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 06/2015, Volume 91, Issue 6, p. 062907
We investigate chaos in mixed-phase-space Hamiltonian systems using time series of the finite-time Lyapunov exponents. The methodology we propose uses the... 
SYMPLECTIC MAPS | STICKINESS | TRANSPORT | NUMBER | INVARIANT-SETS | PHYSICS, FLUIDS & PLASMAS | NONINTEGRABLE HAMILTONIAN-SYSTEMS | ISOLATING INTEGRALS | PHYSICS, MATHEMATICAL | CORRELATION DECAY | Physics - Chaotic Dynamics
Journal Article
by Gu, X.D and Zhu, W.Q
Nonlinear Dynamics, ISSN 0924-090X, 07/2017, Volume 89, Issue 1, pp. 125 - 133
A new procedure for designing optimal bounded control of stochastically excited multi-degree-of-freedom (MDOF) nonlinear viscoelastic systems is proposed based... 
Nonlinear viscoelastic system | Stochastic optimal control | Stochastic averaging | Stochastic maximum principle | MECHANICS | MAXIMUM PRINCIPLE | EXCITATION | NONINTEGRABLE HAMILTONIAN-SYSTEMS | ACTUATOR SATURATION | ENGINEERING, MECHANICAL | Viscoelasticity | Damping | Optimal control | Maximum principle | Hamiltonian functions | Nonlinear systems | Optimization
Journal Article
Chaos, Solitons and Fractals, ISSN 0960-0779, 2007, Volume 31, Issue 3, pp. 702 - 711
On the basis of the work of Goodwin and Puu, a new business cycle model subject to a stochastically parametric excitation is derived in this paper. At first,... 
MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | BUSINESS-CYCLE MODEL | ECONOMIC-FLUCTUATIONS | NONINTEGRABLE-HAMILTONIAN-SYSTEMS | PHYSICS, MATHEMATICAL | TRENDS | Models | Macroeconomics | Business cycles | Analysis
Journal Article
Chaos, Solitons and Fractals, ISSN 0960-0779, 2007, Volume 33, Issue 3, pp. 823 - 828
A four-wheel-steering system subjected to white noise excitations was reduced to a two-degree-of-freedom quasi-non-integrable-Hamiltonian system. Subsequently... 
CHAOS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | NONINTEGRABLE-HAMILTONIAN-SYSTEMS | SOLITON SOLUTION | PHYSICS, MATHEMATICAL | BIFURCATION
Journal Article
Annales de l'Institut Henri Poincare / Analyse non lineaire, ISSN 0294-1449, 2009, Volume 26, Issue 3, pp. 855 - 868
Journal Article
Theoretical and Computational Fluid Dynamics, ISSN 0935-4964, 3/2010, Volume 24, Issue 1, pp. 137 - 149
Journal Article
PHYSICA D-NONLINEAR PHENOMENA, ISSN 0167-2789, 06/2004, Volume 192, Issue 3-4, pp. 215 - 248
Journal Article
Physical Review E, ISSN 2470-0045, 12/2017, Volume 96, Issue 6
We revisit the numerical calculation of generalized Lyapunov exponents, L(q), in deterministic dynamical systems. The standard method consists of adding noise... 
DYNAMICS | INSTABILITY | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | NONINTEGRABLE HAMILTONIAN-SYSTEMS
Journal Article
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 01/2008, Volume 4, p. 010
Journal Article
Acta Mechanica Solida Sinica, ISSN 0894-9166, 2008, Volume 21, Issue 2, pp. 116 - 126
Journal Article
Journal of Applied Physics, ISSN 0021-8979, 07/1998, Volume 84, Issue 2, pp. 1052 - 1058
A general formulation of subdynamics is presented for constructing the spectral decomposition of the Hamiltonian of N excitons confined within a quantum dot... 
PHYSICS, APPLIED | NONINTEGRABLE SYSTEMS | Exciton theory | Hamiltonian systems | Mathematics | Formulae | Research | Spectrum analysis
Journal Article
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