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Volumn 13, Issue 3, 2000, Pages 675-698

Bifurcation and asymptotic stability in the large detuning limit of the optical parametric oscillator

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EID: 0034178760     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/13/3/310     Document Type: Article
Times cited : (22)

References (24)
  • 2
    • 0032646251 scopus 로고    scopus 로고
    • Dynamics of the parametrically driven NLS solitons beyond the onse. Of the oscillatory instability
    • Alexeeva N, Barashenkov I and Pelinovsky D 1999 Dynamics of the parametrically driven NLS solitons beyond the onse. of the oscillatory instability Nonlinearity 12 103-40
    • (1999) Nonlinearity , vol.12 , pp. 103-140
    • Alexeeva, N.1    Barashenkov, I.2    Pelinovsky, D.3
  • 3
    • 70349538482 scopus 로고
    • Stability diagram of the phase-locked solitons in the parametrically driven, damped nonlinear Schrödinger equation
    • Barashenkov I, Bogdan M and Korobov V 1991 Stability diagram of the phase-locked solitons in the parametrically driven, damped nonlinear Schrödinger equation Europhys. Lett. 15 113-8
    • (1991) Europhys. Lett. , vol.15 , pp. 113-118
    • Barashenkov, I.1    Bogdan, M.2    Korobov, V.3
  • 4
    • 0002538743 scopus 로고
    • Invariant manifolds for semilinear partial differential equations
    • Bates P and Jones CKRT 1989 Invariant manifolds for semilinear partial differential equations Dynam. Reported 2 1-38
    • (1989) Dynam. Reported , vol.2 , pp. 1-38
    • Bates, P.1    Jones, C.K.R.T.2
  • 5
    • 0000055286 scopus 로고
    • Higher order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equation
    • Bona J, Promislow K and Wayne C E 1995 Higher order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equation Nonlinearity 8 1179-206
    • (1995) Nonlinearity , vol.8 , pp. 1179-1206
    • Bona, J.1    Promislow, K.2    Wayne, C.E.3
  • 6
    • 84990739185 scopus 로고
    • Renormalization group and asymptotics of solutions of nonlinear parabolic equations
    • Bricmont J. Kupiainen A and Lin G 1994 Renormalization group and asymptotics of solutions of nonlinear parabolic equations Commun. Pure Appl. Math. 47 893-922
    • (1994) Commun. Pure Appl. Math. , vol.47 , pp. 893-922
    • Bricmont, J.1    Kupiainen, A.2    Lin, G.3
  • 7
    • 84990563336 scopus 로고
    • Analysis of the linearization around a critical point of an infinite dimensional Hamiltonian system
    • Grillakis M 1990 Analysis of the linearization around a critical point of an infinite dimensional Hamiltonian system Commun. Pure Appl. Math. XLIII 299-333
    • (1990) Commun. Pure Appl. Math. , vol.43 , pp. 299-333
    • Grillakis, M.1
  • 8
    • 0032622893 scopus 로고    scopus 로고
    • The evans function and generalized Melnikov integrals
    • Kapitula T 1998 The Evans function and generalized Melnikov integrals SIAM J. Math. Anal. 30 273-97
    • (1998) SIAM J. Math. Anal. , vol.30 , pp. 273-297
    • Kapitula, T.1
  • 9
    • 0003123140 scopus 로고
    • Quasi-linear equations of evolution, with applications to partial differential equations
    • ed A Dold and B Eckmann (New York: Springer)
    • Kato T 1975 Quasi-linear equations of evolution, with applications to partial differential equations Spectral Theory and Differential Equations (Lecture Notes in Mathematics vol 448) ed A Dold and B Eckmann (New York: Springer)
    • (1975) Spectral Theory and Differential Equations (Lecture Notes in Mathematics Vol 448) , vol.448
    • Kato, T.1
  • 10
    • 0002348145 scopus 로고    scopus 로고
    • Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations
    • Kapitula T and Sandstede B 1998 Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations Physica D 124 58-103
    • (1998) Physica D , vol.124 , pp. 58-103
    • Kapitula, T.1    Sandstede, B.2
  • 11
    • 0030128338 scopus 로고    scopus 로고
    • Stability of pulses in nonlinear optical fibers using phase-sensitive amplifiers
    • Kutz J N and Kath W 1996 Stability of pulses in nonlinear optical fibers using phase-sensitive amplifiers SIAM J. Appl. Math. 56611-26
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 611-626
    • Kutz, J.N.1    Kath, W.2
  • 12
    • 11544364689 scopus 로고    scopus 로고
    • Structural stability of non-groundstate traveling waves of coupled nonlinear Schrödinger systems
    • Li Y and Promislow K 1998 Structural stability of non-groundstate traveling waves of coupled nonlinear Schrödinger systems Physica D 124 137-65
    • (1998) Physica D , vol.124 , pp. 137-165
    • Li, Y.1    Promislow, K.2
  • 15
    • 21844510556 scopus 로고
    • Asymptotic stability of solitary waves
    • Pego R and Weinstein M 1994 Asymptotic stability of solitary waves Commun. Math. Phys. 164 305-49
    • (1994) Commun. Math. Phys. , vol.164 , pp. 305-349
    • Pego, R.1    Weinstein, M.2
  • 18
    • 0031185768 scopus 로고    scopus 로고
    • Stable topological spatial solitons in optical parametric oscillators
    • Trillo S, Haelterman M and Sheppard A 1997 Stable topological spatial solitons in optical parametric oscillators Opt. Lett. 22 970
    • (1997) Opt. Lett. , vol.22 , pp. 970
    • Trillo, S.1    Haelterman, M.2    Sheppard, A.3
  • 19
    • 0032185254 scopus 로고    scopus 로고
    • Excitation and bistability of self-trapped signal beams in optical parametric oscillators
    • Trillo S and Haelterman M 1998 Excitation and bistability of self-trapped signal beams in optical parametric oscillators Opt. Lett. 23 1514
    • (1998) Opt. Lett. , vol.23 , pp. 1514
    • Trillo, S.1    Haelterman, M.2
  • 20
    • 0030213616 scopus 로고    scopus 로고
    • Transverse patterns in degenerate optical parametric oscillation and degenerate four-wave mixing
    • Valcarcel G, Staliunas K, Roldan E and Sanchez-Morcillo V 1996 Transverse patterns in degenerate optical parametric oscillation and degenerate four-wave mixing Phys. Rev. A 54 1609-24
    • (1996) Phys. Rev. A , vol.54 , pp. 1609-1624
    • Valcarcel, G.1    Staliunas, K.2    Roldan, E.3    Sanchez-Morcillo, V.4
  • 22
    • 0001550887 scopus 로고
    • Special issue on optical parametric oscillation and amplification
    • Byer R and Piskarskas A (ed) 1993 Special issue on optical parametric oscillation and amplification J. Opt. Soc. Am. B 10 2147 Bosenberg W and Eckardt R (ed) 1995 Special issue on optical parametric devices J. Opt. Soc. Am. B 12 2083 de Valcárcel G, Roldán E and Vilaseca R (ed) 1999 Special issue on patterns in nonlinear optical systems (part 2) J. Opt. B: Quantum Semiclass. Opt. 1 1
    • (1993) J. Opt. Soc. Am. B , vol.10 , pp. 2147
    • Byer, R.1    Piskarskas, A.2
  • 23
    • 2942675851 scopus 로고
    • Special issue on optical parametric devices
    • Byer R and Piskarskas A (ed) 1993 Special issue on optical parametric oscillation and amplification J. Opt. Soc. Am. B 10 2147 Bosenberg W and Eckardt R (ed) 1995 Special issue on optical parametric devices J. Opt. Soc. Am. B 12 2083 de Valcárcel G, Roldán E and Vilaseca R (ed) 1999 Special issue on patterns in nonlinear optical systems (part 2) J. Opt. B: Quantum Semiclass. Opt. 1 1
    • (1995) J. Opt. Soc. Am. B , vol.12 , pp. 2083
    • Bosenberg, W.1    Eckardt, R.2
  • 24
    • 0002476742 scopus 로고    scopus 로고
    • Special issue on patterns in nonlinear optical systems (part 2)
    • Byer R and Piskarskas A (ed) 1993 Special issue on optical parametric oscillation and amplification J. Opt. Soc. Am. B 10 2147 Bosenberg W and Eckardt R (ed) 1995 Special issue on optical parametric devices J. Opt. Soc. Am. B 12 2083 de Valcárcel G, Roldán E and Vilaseca R (ed) 1999 Special issue on patterns in nonlinear optical systems (part 2) J. Opt. B: Quantum Semiclass. Opt. 1 1
    • (1999) J. Opt. B: Quantum Semiclass. Opt. , vol.1 , pp. 1
    • De Valcárcel, G.1    Roldán, E.2    Vilaseca, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.