## Found 179 Documents (Results 1–100)

### Escape times across the golden cantorus of the standard map.(English)Zbl 1502.37048

MSC:  37E05 37E20 37C05
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### A vortex ring on a sphere: the case of total vorticity equal to zero.(English)Zbl 1462.76032

MSC:  76B47 85A05
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### Splitting of the separatrices after a Hamiltonian-Hopf bifurcation under periodic forcing.(English)Zbl 1409.37059

MSC:  37J20 37J40 37J45 37C29
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### On the “hidden” harmonics associated to best approximants due to quasi-periodicity in splitting phenomena.(English)Zbl 1410.37023

MSC:  37C55 37J40 37J45
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### Abrupt transitions to tumor extinction: a phenotypic quasispecies model.(English)Zbl 1382.37102

MSC:  37N25 92B05 92D25
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### Dynamical properties of Hamiltonian systems with applications to celestial mechanics.(English)Zbl 1373.70010

Corbera, Montserrat (ed.) et al., Central configurations, periodic orbits, and Hamiltonian systems. Lecture notes given at the research program on central configurations, periodic orbits and beyond in celestial mechanics, Barcelona, Spain, January 27–31, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0932-0/pbk; 978-3-0348-0933-7/ebook). Advanced Courses in Mathematics – CRM Barcelona, 169-232 (2016).
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### Central configurations, periodic orbits, and Hamiltonian systems. Lecture notes given at the research program on central configurations, periodic orbits and beyond in celestial mechanics, Barcelona, Spain, January 27–31, 2014.(English)Zbl 1336.37002

Advanced Courses in Mathematics – CRM Barcelona. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0932-0/pbk; 978-3-0348-0933-7/ebook). viii, 232 p. (2016).
MSC:  37-06 37J10 37J15 37J40 37J45 37N05 34C25 70F10 70F15 00B25
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MSC:  37J35
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### Return maps, dynamical consequences and applications.(English)Zbl 1350.37068

MSC:  37J45 37C29 37N05 37M05 37E35
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### Effect of islands in diffusive properties of the standard map for large parameter values.(English)Zbl 1376.37017

MSC:  37A50 37D45 37E40
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### Quadratic area-preserving mappings in $${\mathbb R}^2$$. (Aplicacions quadràtiques que preserven l’àrea a $$\mathbb{R}^2$$.)(Catalan. English summary)Zbl 1371.37088

MSC:  37E30 37E40 37A05

### Measuring the total amount of chaos in some Hamiltonian systems.(English)Zbl 1299.70032

MSC:  70H07 70K70 37N05 34D08 37J40 37J45 37M25
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### A physical dissipative system with a Poincaré homoclinic figure-eight.(English)Zbl 1348.37040

Ibáñez, Santiago (ed.) et al., Progress and challenges in dynamical systems. Proceedings of the international conference “Dynamical systems: 100 years after Poincaré”, Gijón, Spain, September 3–7, 2012. Berlin: Springer (ISBN 978-3-642-38829-3/hbk; 978-3-642-40137-4/ebook). Springer Proceedings in Mathematics & Statistics 54, 383-394 (2013).
MSC:  37C29 37G15 37E30
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### Practical stability domains near $$L_{4,5}$$ in the restricted three-body problem: some preliminary facts.(English)Zbl 1305.70021

Ibáñez, Santiago (ed.) et al., Progress and challenges in dynamical systems. Proceedings of the international conference “Dynamical systems: 100 years after Poincaré”, Gijón, Spain, September 3–7, 2012. Berlin: Springer (ISBN 978-3-642-38829-3/hbk; 978-3-642-40137-4/ebook). Springer Proceedings in Mathematics & Statistics 54, 367-382 (2013).
MSC:  70F07 70K20
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### From the Hénon conservative map to the Chirikov standard map for large parameter values.(English)Zbl 1417.37191

MSC:  37J10 37J25 37J45 37C05
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MSC:  70F10
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### Dynamics of 4D symplectic maps near a double resonance.(English)Zbl 1353.37113

MSC:  37J10 37J45 70K30
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### Dynamical stability of quasi-periodic response solutions in planar conservative systems.(English)Zbl 1287.37035

MSC:  37J25 37J40 37J45 37C60
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### The set of planar orbits of second species in the RTBP.(English)Zbl 1360.70020

Peixoto, Maurício Matos (ed.) et al., Dynamics, games and science I. DYNA 2008, in honor of Maurício Peixoto and David Rand, University of Minho, Braga, Portugal, September 8–12, 2008. Papers based on talks given at the international conference. Berlin: Springer (ISBN 978-3-642-11455-7/hbk; 978-3-642-11456-4/ebook). Springer Proceedings in Mathematics 1, 359-363 (2011).
MSC:  70F15 70F10
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### Some remarks on the abundance of stable periodic orbits inside homoclinic lobes.(English)Zbl 1244.37039

MSC:  37J45 37D10
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### Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration.(English)Zbl 1237.37023

MSC:  37B55 35J10 37M25
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MSC:  37N10
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### From steady solutions to chaotic flows in a Rayleigh-Bénard problem at moderate Rayleigh numbers.(English)Zbl 1225.37093

MSC:  37N10 76R10 37D45
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### Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems.(English)Zbl 1225.37087

MSC:  37M20 37C55 37G30
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### Dynamics in chaotic zones of area preserving maps: close to separatrix and global instability zones.(English)Zbl 1217.37051

MSC:  37J10 37D45
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### Non-integrability of the degenerate cases of the swinging Atwood’s machine using higher order variational equations.(English)Zbl 1211.37069

MSC:  37J30 70H07 34M35
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### Planar radial weakly dissipative diffeomorphisms.(English)Zbl 1311.37059

MSC:  37L50 37L10
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### Dynamics of particle trajectories in a Rayleigh-Bénard problem.(English)Zbl 1221.37174

MSC:  37N10 76E06 76R10
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### Chaos and quasi-periodicity in diffeomorphisms of the solid torus.(English)Zbl 1202.37034

MSC:  37D45 70K43 37M25
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### Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms.(English)Zbl 1204.37050

MSC:  37G10 34C37 37D45
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### A collocation method for the numerical Fourier analysis of quasi-periodic functions. II: Analytical error estimates.(English)Zbl 1223.37103

MSC:  37M05 37M10 53C35
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### A collocation method for the numerical Fourier analysis of quasi-periodic functions. I: Numerical tests and examples.(English)Zbl 1237.37057

MSC:  37M25 37M05 37J05
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### Swinging Atwood Machine: experimental and numerical results, and a theoretical study.(English)Zbl 1189.37041

MSC:  37D45 70K30
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### New nonlinear mechanisms of midlatitude atmospheric low-frequency variability.(English)Zbl 1186.37101

MSC:  37N10 76A10 37G15
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### Non-integrability of Hamiltonian systems through high order variational equations: summary of results and examples.(English)Zbl 1229.37058

MSC:  37J30 70H07 34M35
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### A numerical study of the orbits of second species of the planar circular RTBP.(English)Zbl 1223.70022

MSC:  70F07 70K44 70K42
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### Some properties of the global behaviour of conservative low-dimensional systems.(English)Zbl 1188.37019

Cucker, Felipe (ed.) et al., Foundations of computational mathematics, Hong Kong, China, 2008. Selected papers based on the presentations at the international conference of the Society for the Foundations of Computational Mathematics (FoCM), June 16–26, 2008. Cambridge: Cambridge University Press (ISBN 978-0-521-73970-2/pbk). London Mathematical Society Lecture Note Series 363, 162-189 (2009).
MSC:  37C10 37J05 37G05 37C75 34C23 70F07

### Resonant zones, inner and outer splittings in generic and low order resonances of area preserving maps.(English)Zbl 1181.37077

MSC:  37J10 37G05 37G10 37C29 37M99 37J40
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### A personal viewpoint on dynamical systems.(Spanish)Zbl 1358.37001

MSC:  37-01 37-03 01A61

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### Stability islands in the vicinity of separatrices of near-integrable symplectic maps.(English)Zbl 1153.37406

MSC:  37J40 70K44 70H08
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### Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems.(English)Zbl 1149.37032

MSC:  37J45 37J25 70H12 70H14 70K70 78A35
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### High-precision computations of divergent asymptotic series and homoclinic phenomena.(English)Zbl 1169.37013

MSC:  37J45 65P10 37C29 37G20
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### Bifurcation analysis of steady Rayleigh-Bénard convection in a cubical cavity with conducting sidewalls.(English)Zbl 1151.76463

MSC:  76E06 76M22
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### Thomson’s heptagon: A case of bifurcation at infinity.(English)Zbl 1143.76404

MSC:  76B47 76E99
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### The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms.(English)Zbl 1148.37309

Gaeta, Giuseppe (ed.) et al., Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2–9, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-616-7/hbk). 280-281 (2008).
MSC:  37G35 37C25 37E10

### Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance ‘bubble’.(English)Zbl 1165.37017

MSC:  37G10 37C05 37E99
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### Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems.(English. Russian original)Zbl 1153.37397

Proc. Steklov Inst. Math. 259, 236-247 (2007); translation from Tr. Mat. Inst. Steklova 259, 243-255 (2007).
MSC:  37J25 70H14 70K70 37J45
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### Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight.(English)Zbl 1115.70008

MSC:  70F10 70-08 70K20
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### Stability of homographic solutions of the planar three-body problem with homogeneous potentials.(English)Zbl 1326.70014

Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 1005-1010 (2005).
MSC:  70F07 34D20 70K20
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### The spectrum of Schrödinger operators with quasi-periodic potential: a dynamical approach.(English)Zbl 1106.34340

Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 856-861 (2005).
MSC:  34L40 34L15

### On the use of Lyapunov exponents to detect global properties of the dynamics.(English)Zbl 1102.37025

Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 631-636 (2005).
MSC:  37D45 37A35

### Continuation of periodic orbits in large-scale dissipative systems.(English)Zbl 1102.65131

Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 625-630 (2005).
MSC:  65P30 37M20 37G15

### Quasi-periodic Hénon-like attractors in the Lorenz-84 climate model with seasonal forcing.(English)Zbl 1132.34040

Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 601-606 (2005).

### Existence and measure of 2-quasiperiodicity in Hamiltonaian one-and-a-half degree of freedom systems.(English)Zbl 1102.37041

Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 295-600 (2005).
MSC:  37J45 34C40 35F20

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MSC:  76-XX
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### Newton-Krylov continuation of periodic orbits for Navier-Stokes flows.(English)Zbl 1153.76345

MSC:  76D05 37L15 37N10
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### Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits.(English)Zbl 1032.37042

MSC:  37J35 37J45 37D45 37M25
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### Simple choreographic motions of $$N$$ bodies: a preliminary study.(English)Zbl 1146.70333

Newton, Paul (ed.) et al., Geometry, mechanics, and dynamics. Volume in honor of the 60th birthday of J. E. Marsden. New York, NY: Springer (ISBN 0-387-95518-6/hbk). 287-308 (2002).
MSC:  70F10
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### Dynamical properties of the figure eight solution of the three-body problem.(English)Zbl 1151.70316

Chenciner, Alain (ed.) et al., Celestial mechanics. Dedicated to Donald Saari for his 60th birthday. Proceedings of an international conference, Northwestern Univ., Evanston, IL, USA, December 15–19, 1999. Providence, RI: AMS, American Mathematical Society (ISBN 0-8218-2902-5). Contemp. Math. 292, 209-228 (2002).
MSC:  70F07 37N05 70-08

### Consecutive quasi-collisions in the planar circular RTBP.(English)Zbl 1035.70005

MSC:  70F07 37N05 70K42
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### New families of solutions in $$N$$-body problems.(English)Zbl 1101.70009

Casacuberta, Carles (ed.) et al., 3rd European congress of mathematics (ECM), Barcelona, Spain, July 10–14, 2000. Volume I. Basel: Birkhäuser (ISBN 3-7643-6417-3/hbk; 3-7643-6419-X/set). Prog. Math. 201, 101-115 (2001).
MSC:  70F10 70F15 37N05

### Global dynamics and fast indicators.(English)Zbl 1198.37115

Broer, Henk W. (ed.) et al., Global analysis of dynamical systems. Festschrift dedicated to Floris Takens for his 60th birthday. Bristol: Institute of Physics Publishing (ISBN 0-7503-0803-6/hbk). 373-389 (2001).

### A formal approximation of the splitting of separatrices in the classical Arnold’s example of diffusion with two equal parameters.(English)Zbl 1001.37051

MSC:  37J40 37M99 70H08
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### Dynamics and mission design near libration points. Vol. 4: Advanced methods for triangular points.(English)Zbl 0969.70002

World Scientific Monograph Series in Mathematics. 5. Singapore: World Scientific. x, 262 p. £41.00 (2001).
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### Dynamics and mission design near libration points. Vol. 2: Fundamentals: The case of triangular libration points.(English)Zbl 0971.70004

World Scientific Monograph Series in Mathematics 3. Singapore: World Scientific (ISBN 981-02-4274-3/hbk; 981-02-4275-1/pbk; 978-981-281-064-9/ebook). 160 p. (2001).
MSC:  70-02 70F15 70F07
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### Dynamics and mission design near libration points. Vol. 3: Advanced methods for collinear points.(English)Zbl 0971.70002

World Scientific Monograph Series in Mathematics. 4. Singapore: World Scientific Publishing. xiii, 185 p. £35.00; \$ 52.00 (2001).
MSC:  70-02 70F15
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### Regularizable and non-regularizable collisions in $$N$$-body problems.(English)Zbl 1051.70517

Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1–7, 1999. Vol. 1. Singapore: World Scientific (ISBN 981-02-4359-6/hbk). 12-19 (2000).
MSC:  70F10 70F16

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### Analytical and numerical detection of exponentially small phenomena.(English)Zbl 0963.65136

Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 2. Singapore: World Scientific. 967-976 (2000).
MSC:  65P30 37M20

### The degree of differentiability of the regularization of simultaneous binary collisions in some $$N$$-body problems.(English)Zbl 0983.70011

MSC:  70F10 70F16
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