-
1
-
-
0001333910
-
Self-similarity of Stochastic Magnetic Field Lines near the X-Point
-
Abdullaev, S.S. and Zaslavsky, G.M. (1995), Self-similarity of Stochastic Magnetic Field Lines near the X-Point, Physical Plasmas, 2, 4533-4541.
-
(1995)
Physical Plasmas
, vol.2
, pp. 4533-4541
-
-
Abdullaev, S.S.1
Zaslavsky, G.M.2
-
2
-
-
0000667843
-
Application of the Separatrix Map to Study Perturbed Magnetic Field Lines near the Separatrix
-
Abdullaev, S.S. and Zaslavsky, G.M. (1996), Application of the Separatrix Map to Study Perturbed Magnetic Field Lines near the Separatrix, Physical Plasmas, 3, 516-528.
-
(1996)
Physical Plasmas
, vol.3
, pp. 516-528
-
-
Abdullaev, S.S.1
Zaslavsky, G.M.2
-
4
-
-
22244451042
-
Analysis of the Separatrix Map in Hamiltonian Systems
-
Ahn, T., Kim, G. and Kim, S. (1996), Analysis of the Separatrix Map in Hamiltonian Systems, Physica D, 89, 315-328.
-
(1996)
Physica D
, vol.89
, pp. 315-328
-
-
Ahn, T.1
Kim, G.2
Kim, S.3
-
5
-
-
0000877933
-
Instability of Dynamical Systems with Several Degrees of Freedom
-
Arnold, V.I. (1964), Instability of Dynamical Systems with Several Degrees of Freedom, Soviet Mathematics-Doklady, 5, 581-585.
-
(1964)
Soviet Mathematics-Doklady
, vol.5
, pp. 581-585
-
-
Arnold, V.I.1
-
7
-
-
0012097571
-
A Universal Instability of Many-Dimensional Oscillator System
-
Chirikov, B.V. (1979), A Universal Instability of Many-Dimensional Oscillator System, Physics Report, 52, 263-379.
-
(1979)
Physics Report
, vol.52
, pp. 263-379
-
-
Chirikov, B.V.1
-
8
-
-
0000694866
-
Stochasticity in Classic Hamiltonian Systems: Universal Aspects
-
Escade, D.F. (1985), Stochasticity in Classic Hamiltonian Systems: Universal Aspects, Physics Report, 121, 165-261.
-
(1985)
Physics Report
, vol.121
, pp. 165-261
-
-
Escade, D.F.1
-
9
-
-
0000591957
-
Renormalization Method for the Onset of Stochasticity in a Hamiltonian System
-
Escande, D.F. and Doveil, F. (1981), Renormalization Method for the Onset of Stochasticity in a Hamiltonian System, Physical Letter, 83A, 307-310.
-
(1981)
Physical Letter
, vol.83 A
, pp. 307-310
-
-
Escande, D.F.1
Doveil, F.2
-
10
-
-
0001327147
-
Exponentially Small Splitting in Hamiltonian Systems
-
Gelfreich, V.G., Lazutkin, V.F. and Tabanov, M.B. (1991), Exponentially Small Splitting in Hamiltonian Systems, Chaos, 1,137-142.
-
(1991)
Chaos
, vol.1
, pp. 137-142
-
-
Gelfreich, V.G.1
Lazutkin, V.F.2
Tabanov, M.B.3
-
11
-
-
0002439526
-
A Refined Formula for the Separatrix Splitting for the Standard Map
-
Gelfreich, V.G., Lazutkin, V.F. and Svanidze, N.V. (1994), A Refined Formula for the Separatrix Splitting for the Standard Map, Physica D, 71, 82-101.
-
(1994)
Physica D
, vol.71
, pp. 82-101
-
-
Gelfreich, V.G.1
Lazutkin, V.F.2
Svanidze, N.V.3
-
12
-
-
36849114757
-
Two-Dimensional Measure-Preserving Mappings
-
Greene, J. M. (1968), Two-Dimensional Measure-Preserving Mappings, Journal of Mathematical Physics, 9, 760-768.
-
(1968)
Journal of Mathematical Physics
, vol.9
, pp. 760-768
-
-
Greene, J.M.1
-
13
-
-
36749116209
-
A Method for Computing the Stochastic Transition
-
Greene, J. M. (1979), A Method for Computing the Stochastic Transition, Journal of Mathematical Physics, 20, 1183-1201.
-
(1979)
Journal of Mathematical Physics
, vol.20
, pp. 1183-1201
-
-
Greene, J.M.1
-
14
-
-
0003478288
-
-
Springer-Verlag: New York
-
Guckenheimer, J. and Holmes, P.J. (1983), Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag: New York.
-
(1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
-
-
Guckenheimer, J.1
Holmes, P.J.2
-
15
-
-
0032156418
-
Resonant Layers in Nonlinear Dynamics
-
Han, R.P.S. and Luo, A.C.J. (1998), Resonant Layers in Nonlinear Dynamics, ASME Journal of Applied Mechanics, 65, 727-736.
-
(1998)
ASME Journal of Applied Mechanics
, vol.65
, pp. 727-736
-
-
Han, R.P.S.1
Luo, A.C.J.2
-
16
-
-
0002993688
-
Semiclassical Quantization of a Separatrix Map
-
Iomin, A. and Fishman, S. (1996), Semiclassical Quantization of a Separatrix Map, Physical Review, 54, R1-R5.
-
(1996)
Physical Review
, vol.54
-
-
Iomin, A.1
Fishman, S.2
-
17
-
-
0024926295
-
Splitting of Separatrices for Standard and Semistandard Mappings
-
Lazutkin, V.F. and Schachmannski, I.G. and Tabanov, M.B. (1989), Splitting of Separatrices for Standard and Semistandard Mappings, Physica D, 40, 235-248.
-
(1989)
Physica D
, vol.40
, pp. 235-248
-
-
Lazutkin, V.F.1
Schachmannski, I.G.2
Tabanov, M.B.3
-
19
-
-
0003845853
-
-
Ph.D. dissertation, University of Manitoba, Winnipeg, Manitoba, Canada
-
Luo, A.C.J. (1995), Analytical Modeling of Bifurcations, Chaos, and Multifractals in Nonlinear Dynamics, Ph.D. dissertation, University of Manitoba, Winnipeg, Manitoba, Canada.
-
(1995)
Analytical Modeling of Bifurcations, Chaos, and Multifractals in Nonlinear Dynamics
-
-
Luo, A.C.J.1
-
20
-
-
0346131399
-
The Mechanism of Stochastic Layers Characterized by Inherent Resonance in the Vicinity of a Separatrix
-
submitted
-
Luo, A.C.J. and Han, R.P.S. (1999a), The Mechanism of Stochastic Layers Characterized by Inherent Resonance in the Vicinity of a Separatrix, submitted; International Journal of Nonlinear Mechanics.
-
(1999)
International Journal of Nonlinear Mechanics
-
-
Luo, A.C.J.1
Han, R.P.S.2
-
21
-
-
0001642259
-
Analytical Predictions of Chaos in a Nonlinear Rod
-
Luo, A.C.J. and Han, R.P.S. (1999b), Analytical Predictions of Chaos in a Nonlinear Rod, Journal of Sound and Vibration, 227 (3), 523-544.
-
(1999)
Journal of Sound and Vibration
, vol.227
, Issue.3
, pp. 523-544
-
-
Luo, A.C.J.1
Han, R.P.S.2
-
22
-
-
0346131397
-
The Dynamics of Resonant and Stochastic Layers in a Periodically-Driven Pendulum
-
in press
-
Luo, A.C.J. and Han, R.P.S. (1999c), The Dynamics of Resonant and Stochastic Layers in a Periodically-Driven Pendulum, Journal of Chaos, Solitons and Fractals, in press.
-
(1999)
Journal of Chaos, Solitons and Fractals
-
-
Luo, A.C.J.1
Han, R.P.S.2
-
23
-
-
0033721122
-
Investigations of Stochastic Layers in Nonlinear Dynamics
-
Luo, A.C.J. and Han, R.P.S. (2000), Investigations of Stochastic Layers in Nonlinear Dynamics, ASME Journal of Vibration and Acoustics, 122, 36-41.
-
(2000)
ASME Journal of Vibration and Acoustics
, vol.122
, pp. 36-41
-
-
Luo, A.C.J.1
Han, R.P.S.2
-
24
-
-
0032668353
-
Resonant-Separatrix Webs in the Stoachstic Layers of the Duffing Oscillator
-
Luo, A.C.J., Gu, K. and Han, R.P.S (1999), Resonant-Separatrix Webs in the Stoachstic Layers of the Duffing Oscillator, Nonlinear Dynamics, 19, 37-48.
-
(1999)
Nonlinear Dynamics
, vol.19
, pp. 37-48
-
-
Luo, A.C.J.1
Gu, K.2
Han, R.P.S.3
-
25
-
-
0001505841
-
On the Behavior of trajectories of system near to Autonomous Hamiltonian Systems
-
Melnikov, V.K. (1962), On the Behavior of trajectories of system near to Autonomous Hamiltonian Systems, Soviet Mathematics-Doklady, 3, 109-112.
-
(1962)
Soviet Mathematics-Doklady
, vol.3
, pp. 109-112
-
-
Melnikov, V.K.1
-
26
-
-
0001834849
-
On the Stability of the Center for Time Periodic Perturbations
-
Melnikov, V.K. (1963), On the Stability of the Center for Time Periodic Perturbations, Trans. Moscow Mathematics Society, 12, 1-57.
-
(1963)
Trans. Moscow Mathematics Society
, vol.12
, pp. 1-57
-
-
Melnikov, V.K.1
-
27
-
-
77951516344
-
Sur La Probleme des Trois Corps et les Equations de la Dynamique
-
Poincare, H. (1890), Sur La Probleme des Trois Corps et les Equations de la Dynamique, Acta Mathematica, 13,1-271.
-
(1890)
Acta Mathematica
, vol.13
, pp. 1-271
-
-
Poincare, H.1
-
30
-
-
0000232707
-
Field-Induced Barrier Penetration in the Quadratic Potential
-
Reichl, L.E. and Zheng, W.M. (1984a), Field-Induced Barrier Penetration in the Quadratic Potential, Physical Review, 29A, 2186-2193.
-
(1984)
Physical Review
, vol.29 A
, pp. 2186-2193
-
-
Reichl, L.E.1
Zheng, W.M.2
-
31
-
-
5344281002
-
Perturbed Double-Well System: The Pendulum Approximation and Low-Frequency Effect
-
Reichl, L.E. and Zheng, W.M. (1984b), Perturbed Double-Well System: The Pendulum Approximation and Low-Frequency Effect, Physical Review, 30A, 1068-1077.
-
(1984)
Physical Review
, vol.30 A
, pp. 1068-1077
-
-
Reichl, L.E.1
Zheng, W.M.2
-
32
-
-
0001301218
-
Transport Rates of a Class of Two-Dimensional Maps and Flow
-
Rom-Kedar, V. (1990), Transport Rates of a Class of Two-Dimensional Maps and Flow, Physica D, 43, 229-268.
-
(1990)
Physica D
, vol.43
, pp. 229-268
-
-
Rom-Kedar, V.1
-
33
-
-
10044277502
-
Homoclinic Tangles-Classification and Applications
-
Rom-Kedar, V. (1994), Homoclinic Tangles-Classification and Applications, Nonlinearity, 7, 441-473.
-
(1994)
Nonlinearity
, vol.7
, pp. 441-473
-
-
Rom-Kedar, V.1
-
34
-
-
5844271481
-
Secondary Homoclinic Bifurcation Theorems
-
Rom-Kedar, V. (1995), Secondary Homoclinic Bifurcation Theorems, Chaos, 5, 385-401.
-
(1995)
Chaos
, vol.5
, pp. 385-401
-
-
Rom-Kedar, V.1
-
35
-
-
0010951575
-
An Averaging Method for Hamiltonian Systems, Exponentially Close to Integrable Ones
-
Treschev, D.V. (1995), An Averaging Method for Hamiltonian Systems, Exponentially Close to Integrable Ones, Chaos, 6, 6-14.
-
(1995)
Chaos
, vol.6
, pp. 6-14
-
-
Treschev, D.V.1
-
36
-
-
0001585893
-
Stochastic Instability of Trapped Particles and Conditions of Application of the Quasi-Linear Approximation
-
Zaslavsky, G.M. and Filonenko, N.N. (1968), Stochastic Instability of Trapped Particles and Conditions of Application of the Quasi-Linear Approximation, Soviet Physics JETP, 27, 851-857.
-
(1968)
Soviet Physics JETP
, vol.27
, pp. 851-857
-
-
Zaslavsky, G.M.1
Filonenko, N.N.2
-
37
-
-
0001228181
-
Scaling Properties and Anomalous Transport of Particles inside the Stochastic Layer
-
Zaslavsky, G.M. and Abdullaev, S.S. (1995), Scaling Properties and Anomalous Transport of Particles inside the Stochastic Layer, Physical Review, 51E, 3901-3910.
-
(1995)
Physical Review
, vol.51 E
, pp. 3901-3910
-
-
Zaslavsky, G.M.1
Abdullaev, S.S.2
|