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Dynamics of Multi-Parameter Systems with Interacting Oscillations
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Author(s):
Okan Gurel
Publication date
(Print):
1985
Publisher:
Springer Netherlands
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Quantitative universality for a class of nonlinear transformations
Mitchell Feigenbaum
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The universal metric properties of nonlinear transformations
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Geometrical Methods in the Theory of Ordinary Differential Equations
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Publication date (Print):
1985
Pages
: 283-304
DOI:
10.1007/978-94-009-5398-7_22
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959094d7-1b00-4c1b-b4ed-194f95746039
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Book chapters
pp. 3
The Tiny Satellites of Jupiter and Saturn and their Interactions with the Rings
pp. 17
Motion of a Geo-Centric Synchronous Satellite
pp. 33
On the Brown Conjecture
pp. 39
On the Evolution of the Lunar Orbit
pp. 53
The Three-Body Problem with Two Small Masses: A Singular-Perturbation Approach to the Problem of Saturn’s Coorbiting Satellites
pp. 65
Stability and Origin of the Minor Bodies of the Solar System
pp. 83
Existence and Stability of Circular Orbits in Axially-Symmetric Gravitational Fields
pp. 97
Bifurcations and Stability in Three-Dimensional Systems
pp. 115
Three-Body Problem Some Applications of the Tests of Escape
pp. 139
Methods of Stability Analysis in the Solar System
pp. 151
Studies in the Stability of Hierarchical Dynamical Systems
pp. 175
Stability in Celestial Mechanics
pp. 183
Resonance Sweeping in the Solar System
pp. 193
Some Results of Resonance and Periodic Motions
pp. 201
Sur Une Equation de Hill Singuliere
pp. 213
Hamiltonian Perturbations in Dynamical Systems and Applications in Planetary Systems
pp. 227
Recent Extensions of Hamilton’s Law of Varying Action with Applications — The Integral Variation Method
pp. 233
Recent Extensions of Hamilton’s Law of Varying Action — Mathematical Insights
pp. 241
KAM Theory and Dynamical Astronomy
pp. 253
Stability of Hamiltonian Systems of Two Degrees of Freedom and of Formally Conservative Mappings Near a Singular Point
pp. 265
The Lyapunov Characteristic Exponents and Applications to the Dimension of the Invariant Manifolds and Chaotic Attractors
pp. 283
Dynamics of Multi-Parameter Systems with Interacting Oscillations
pp. 305
Homoclinic Phenomena and Quasi-Integrability
pp. 319
Geodesic Flows
pp. 333
Extragalactic Celestial Mechanics: An Introduction
pp. 349
Motions in the Magnetic Field of Two Revolving Dipoles
pp. 367
Types of Motion in the Oblate Planet Problem
pp. 368
Future Orbital Evolution of Satellite Phobos
pp. 369
Precession Dynamics in Spin-Orbit Coupling: A Unified Theory
pp. 370
A Singularity Analysis of Dynamical Systems with Applications to Astronomy
pp. 371
Resonant Periodic Orbits in a Rotating Galaxy
pp. 372
Earth Deformations from Lageos Orbit
pp. 374
The Puzzle of Lageos’ Semimajor Axis Decay
pp. 376
On the Hill Variables and the Radial Intermediaries in Artificial Satellite Theory
pp. 377
Applications of the Method of Averaging to Predict Dual-Spin Spacecraft Attitude Motion
pp. 378
Orbit Determination: Preliminary Orbits
pp. 379
Quasiresonant Canonical Forms for Hamiltonian Systems
pp. 380
On the Equilibrium Solutions in the Circular Planar Restricted Problem of Three Rigid Bodies
pp. 381
Linearization in Special Cases of the Perturbed Two-Body Problem
pp. 382
Generalized Elliptic Anomalies
pp. 383
Invariant Manifolds and Homoclinic Opbits for L3 in the R.T.R.P.
pp. 384
Models for the Splitting of Separatrices
pp. 386
Kolmogorov Entropy as a Measure of Disorder in Some Non-Integrable Hamiltonian Systems
pp. 387
Orbital Reversal of Particle Streams in Resonance with Jupiter
pp. 388
Approximate Solutions to the Restricted Problem of Three Bodies for Small Mass Parameter
pp. 390
A Perturbation Technique Based on the Integral Variation Method
pp. 391
Regularization of the Triple Collision Manifold in the Planar Three-Body Problem
pp. 392
A Restricted Problem of Four Bodies
pp. 393
Escape of a Subsystem in a N-Body Problem. Application to the Three Body Problem
pp. 394
The Orbits of Titan, Hyperion and Iapetus
pp. 395
Motion about the Stable Libration Points in the Linearized, Restricted Three-Body Problem
pp. 396
Stability in the Restricted Three Body Problem with Drag
pp. 397
Structure of the 3:1 Jovian Resonance
pp. 398
The Restricted Elliptic Three-Body Problem for the Mass Parameter Equal to Zero
pp. 399
Final Tidal Evolution of Orbit-Orbit Resonances
pp. 401
Two Applications of Joukowsky’s Formula in the Inverse Problem of Dynamics
pp. 402
A Canonical Approach to a Second-Order Solution for the Secular Motion of the Planets
pp. 403
Translatory-Rotatory Motion of a Gyrostat in a Newtonian Force Field
pp. 404
Analytical Expressions for Some Spatial Periodic Orbits of the Restricted Three-Body Problem and Their Invariant Manifolds
pp. 405
On the Integrability and Non-Integrability in Boolean Dynamics
pp. 407
Stability of Binary Asteroids
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