Preprints
Review Articles
T. Kapitula
Stability analysis of pulses via the Evans function: dissipative systems (.pdf)
A chapter in the book entitled "Dissipative Solitons"
Lecture Notes in Physics 661:407-427 (2005)
T. Kapitula and B. Sandstede
Eigenvalues and resonances using the Evans function
Discrete and Continuous Dynamical Systems 10(4):857-869 (2004)
Peer Reviewed Journal Articles
M. Haragus and T. Kapitula
On the spectra of periodic waves for infinite-dimensional Hamiltonian systems
Physica D 237(20):2649-2671 (2008)
T. Kapitula, P. Kevrekidis, and D. Frantzeskakis
Disk-shaped Bose-Einstein condensates in the presence of an harmonic trap and an optical lattice (.pdf)
Chaos 18(2):023101 (2008)
T. Kapitula, P. Kevrekidis, and R. Carretero-Gonzalez
Rotating matter waves in Bose-Einstein condensates
Physica D 233(2):112-137 (2007)
T. Kapitula
On the stability of N-solitons in integrable systems
Nonlinearity 20(4):879-907 (2007)
T. Kapitula, P. Kevrekidis, and Z. Chen
Three is a crowd: Solitary waves in photorefractive media with three potential wells
SIAM J. Appl. Dyn. Sys. 5(4):598-633 (2006)
T. Kapitula and P. Kevrekidis
Bose-Einstein condensates in the presence of a magnetic trap and optical lattice
Chaos 15(3):037114 (2005)
T. Kapitula and P. Kevrekidis
Bose-Einstein condensates in the presence of a magnetic trap and optical lattice: two-mode approximation
Nonlinearity 18(6):2491-2512 (2005)
T. Kapitula, P. Kevrekidis, and B. Sandstede
Addendum: Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
Physica D 201(1&2):199-201 (2005)
T. Kapitula, P. Kevrekidis, and B. Sandstede
Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems
Physica D 195(3&4):263-282 (2004)
T. Kapitula, J. N. Kutz, and B. Sandstede
The Evans function for nonlocal equations
Indiana U. Math. J. 53(4):1095-1126 (2004)
T. Kapitula and P. Kevrekidis
Linear stability of perturbed Hamiltonian systems: theory and a case example
J. Phys. A: Math. Gen. 37(30):7509-7526 (2004)
T. Kapitula and B. Sandstede
Edge bifurcations for near integrable systems via Evans-function techniques
SIAM J. Math. Anal. 33(5):1117-1143 (2002)
T. Kapitula, J. N. Kutz, and B. Sandstede
Stability of pulses in the master-modelocking equation
J. Opt. Soc. Am. B 19(4):740-746 (2002)
T. Kapitula
Stability of waves in perturbed Hamiltonian systems
Physica D 156(1&2):186-200 (2001)
T. Kapitula and P. Kevrekidis
Stability of waves in discrete systems
Nonlinearity 14(3):533-566 (2001)
T. Kapitula, P. Kevrekidis, and C.K.R.T. Jones
Soliton internal mode bifurcations: Pure power law?
Phys. Rev. E 63(3):036602 (2001)
T. Kapitula, P. Kevrekidis, and Boris Malomed
Stability of multiple pulses in discrete systems
Phys. Rev. E 63(3):036604 (2001)
P. Kevrekidis, C.K.R.T. Jones, and T. Kapitula
Exponentially small splitting of heteroclinic orbits: from the rapidly forced pendulum to discrete solitons
Phys. Lett. A 269(2-3):120-129 (2000)
T. Kapitula and J. Rubin
Existence and stability of standing hole solutions to complex Ginzburg-Landau equations
Nonlinearity 13(1):77-112 (2000)
T. Kapitula
The Evans function and generalized Melnikov integrals
SIAM J. Math. Anal. 30(2):273-297 (1999)
T. Kapitula and B. Sandstede
Stability of bright solitary-wave solutions to perturbed nonlinear Schrodinger equations
Physica D 124(1-3):58-103 (1998)
T. Kapitula and B. Sandstede
A novel instability mechanism for bright solitary-wave solutions to the cubic-quintic Ginzburg-Landau equation
J. Opt. Soc. Am. B 15:2757-2762 (1998)
T. Kapitula
Bifurcating bright and dark solitary waves for the perturbed cubic-quintic nonlinear Schrodinger equation
Proc. Roy. Soc. Edinburgh A 128(3):585-629 (1998)
T. Kapitula
Stability criterion for bright solitary waves of the perturbed cubic-quintic Schrodinger equation
Physica D 116(1-2):95-120 (1998)
T. Kapitula
Multidimensional stability of planar travelling waves
Trans. American Math. Soc. 349(1):257-269 (1997)
T. Kapitula
Existence and stability of singular heteroclinic orbits for the Ginzburg-Landau equation
Nonlinearity 9:669-685 (1996)
T. Kapitula and S. Maier-Paape
Spatial dynamics of time periodic solutions for the Ginzburg-Landau equation
Z angew Math. Phys. 47:265-305 (1996)
T. Kapitula
Singular heteroclinic orbits for degenerate modulation equations
Physica D 82:36-59 (1995)
T. Kapitula
On the stability of travelling waves in weighted L^\infty spaces
J. Diff. Eq. 112(1):179-215,(1994)
T. Kapitula
On the nonlinear stability of plane waves for the Ginzburg-Landau equation
Comm. Pure Appl. Math. 47:831-841 (1994)
C.K.R.T. Jones, R. Gardner, and T. Kapitula
Stability of travelling waves for non-convex scalar viscous conservation laws
Comm. Pure Appl. Math. 46:505-526 (1993)
T. Kapitula
Stability of weak shocks in lambda-omega systems
Indiana U. Math. J. 40(4):1193-1219 (1991)
C.K.R.T. Jones, T. Kapitula, and J. Powell
Nearly real fronts in a Ginzburg-Landau equation
Proc. Roy. Soc. Edinburgh 116A:193-206 (1990)
| Last updated 09/15/08 |