Research Profile

Michael Mortell

Biography

Dr Michael Mortell is a distinguished scientist.  He took his doctorate at California Institute of Technology (Caltech), and his work as an Applied Mathematician in the area of non-linear acoustics is important and significant.  His research activities continued during his time as Registrar and subsequently as President of University College, Cork giving striking evidence of his remarkable organisational ability.  With co-workers he identified in 1973 a functional equation later called The Standard Mapping which is of fundamental importance in understanding mathematical CHAOS.  Indeed the gain to University College, Cork of an outstanding Registrar and President was a loss to science of an exceptional Applied Mathematician.



Publications

Books

 YearPublication
(2014)Singular Perturbations Introduction to System Order Reduction Methods with Applications.
E. Shchepakina, V. Sobolev and M.P. Mortell (2014) Singular Perturbations Introduction to System Order Reduction Methods with Applications. London: Springer. [DOI] [Details]

Peer Reviewed Journals

 YearPublication
(2015)'Resonant radial oscillations of an inhomogeneous gas in the frustum of a cone'
Amundsen, DE;Mortell, MP;Seymour, BR (2015) 'Resonant radial oscillations of an inhomogeneous gas in the frustum of a cone'. Zeitschrift Fur Angewandte Mathematik Und Physik, 66 :2647-2663 [DOI] [Details]
(2012)'Asymptotic solutions for shocked resonant acoustic oscillations between concentric spheres and coaxial cylinders'
Seymour, BR;Mortell, MP;Amundsen, DE (2012) 'Asymptotic solutions for shocked resonant acoustic oscillations between concentric spheres and coaxial cylinders'. Physics of Fluids, 24 [DOI] [Details]
(2009)'Mechanism of Synchronization in Frequency Dividers'
Amann, A,Mortell, MP,O'Reilly, EP,Quinlan, M,Rachinskii, D; (2009) 'Mechanism of Synchronization in Frequency Dividers'. IEEE Transactions On Circuits and Systems I-Regular Papers, 56 :190-199 [DOI] [Details]
(2009)'Mechanism of Synchronization In Frequency Dividers'
Amann, A, Mortell, MP, O'Reilly, EP, Quinlan, M, Rachinskii, D; (2009) 'Mechanism of Synchronization In Frequency Dividers'. IEEE Transactions On Circuits and Systems I-Regular Papers, 56 (1):190-199 [DOI] [Details]
(2009)'The evolution of macrosonic standing waves in a resonator'
Mortell, MP,Mulchrone, KF,Seymour, BR; (2009) 'The evolution of macrosonic standing waves in a resonator'. Rna-A Publication of The Rna Society, 47 :1305-1314 [DOI] [Details]
(2007)'Asymptotic Analysis of Steady Solutions of The Kdvb Equation With Application to Resonant Sloshing'
Amundsen, DE, Cox, EA, Mortell, MP; (2007) 'Asymptotic Analysis of Steady Solutions of The Kdvb Equation With Application to Resonant Sloshing'. Zeitschrift Fur Angewandte Mathematik Und Physik, 58 (6):1008-1034 [DOI] [Details]
(2007)'Asymptotic analysis of steady solutions of the KdVB equation with application to resonant sloshing'
Amundsen, DE,Cox, EA,Mortell, MP; (2007) 'Asymptotic analysis of steady solutions of the KdVB equation with application to resonant sloshing'. Zeitschrift Fur Angewandte Mathematik Und Physik, 58 :1008-1034 [DOI] [Details]
(2005)'On chaotic wave patterns in periodically forced steady-state KdVB and extended KdVB equations'
Cox, EA,Mortell, MP,Pokrovskii, AV,Rasskazov, O; (2005) 'On chaotic wave patterns in periodically forced steady-state KdVB and extended KdVB equations'. Science, 461 :2857-2885 [DOI] [Details]
(2005)'Finite-amplitude, shockless, resonant vibrations of an inhomogeneous elastic panel'
Mortell, MP,Seymour, BR; (2005) 'Finite-amplitude, shockless, resonant vibrations of an inhomogeneous elastic panel'. Mathematics and Mechanics of Solids, 10 :427-440 [DOI] [Details]
(2004)'Nonlinear resonant oscillations in closed tubes of variable cross-section'
Mortell, MP,Seymour, BR; (2004) 'Nonlinear resonant oscillations in closed tubes of variable cross-section'. Journal of Fluid Mechanics, 519 :183-199 [DOI] [Details]
(2002)'Nonlinear standing and resonantly forced oscillations in a tube with slowly changing length'
Cox, EA,Mortell, MP,Reck, S; (2002) 'Nonlinear standing and resonantly forced oscillations in a tube with slowly changing length'. Rna-A Publication of The Rna Society, 62 :965-989 [DOI] [Details]
(2001)'Evolution of nonlinear sloshing in a tank near half the fundamental resonance'
Amundsen, DE,Cox, EA,Mortell, MP,Reck, S; (2001) 'Evolution of nonlinear sloshing in a tank near half the fundamental resonance'. Studies In Applied Mathematics, 107 :103-125 [Details]
(1988)'THE CALCULATION OF RESONANCE SEPARATRICES FOR THE NEAR-INTEGRABLE CASE OF THE STANDARD MAPPING'
MORTELL, MP,SEYMOUR, BR; (1988) 'THE CALCULATION OF RESONANCE SEPARATRICES FOR THE NEAR-INTEGRABLE CASE OF THE STANDARD MAPPING'. Zeitschrift Fur Angewandte Mathematik Und Physik, 39 :861-873 [Details]
(1986)'THE EVOLUTION OF RESONANT WATER-WAVE OSCILLATIONS'
COX, EA,MORTELL, MP; (1986) 'THE EVOLUTION OF RESONANT WATER-WAVE OSCILLATIONS'. Journal of Fluid Mechanics, 162 :99-116 [Details]
(1985)'THE EVOLUTION OF A FINITE RATE PERIODIC OSCILLATION'
SEYMOUR, BR,MORTELL, MP; (1985) 'THE EVOLUTION OF A FINITE RATE PERIODIC OSCILLATION'. Wave Motion, 7 :399-409 [Details]
(1983)'THE EVOLUTION OF RESONANT OSCILLATIONS IN CLOSED TUBES'
COX, EA,MORTELL, MP; (1983) 'THE EVOLUTION OF RESONANT OSCILLATIONS IN CLOSED TUBES'. Zeitschrift Fur Angewandte Mathematik Und Physik, 34 :845-866 [Details]
(1981)'A FINITE-RATE THEORY OF QUADRATIC RESONANCE IN A CLOSED TUBE'
MORTELL, MP,SEYMOUR, BR; (1981) 'A FINITE-RATE THEORY OF QUADRATIC RESONANCE IN A CLOSED TUBE'. Journal of Fluid Mechanics, 112 :411-431 [Details]
(1981)'DISCONTINUOUS SOLUTIONS OF A MEASURE-PRESERVING MAPPING'
SEYMOUR, BR,MORTELL, MP; (1981) 'DISCONTINUOUS SOLUTIONS OF A MEASURE-PRESERVING MAPPING'. Rna-A Publication of The Rna Society, 41 :94-106 [Details]
(1980)'A FINITE-RATE THEORY OF RESONANCE IN A CLOSED TUBE - DISCONTINUOUS SOLUTIONS OF A FUNCTIONAL-EQUATION'
SEYMOUR, BR,MORTELL, MP; (1980) 'A FINITE-RATE THEORY OF RESONANCE IN A CLOSED TUBE - DISCONTINUOUS SOLUTIONS OF A FUNCTIONAL-EQUATION'. Journal of Fluid Mechanics, 99 :365-382 [Details]
(1980)'A SIMPLE APPROXIMATE DETERMINATION OF STOCHASTIC-TRANSITION FOR THE STANDARD MAPPING'
MORTELL, MP,SEYMOUR, BR; (1980) 'A SIMPLE APPROXIMATE DETERMINATION OF STOCHASTIC-TRANSITION FOR THE STANDARD MAPPING'. Rna-A Publication of The Rna Society, 21 :2121-2123 [Details]
(1979)'NON-LINEAR FORCED-OSCILLATIONS IN A CLOSED TUBE - CONTINUOUS SOLUTIONS OF A FUNCTIONAL-EQUATION'
MORTELL, MP,SEYMOUR, BR; (1979) 'NON-LINEAR FORCED-OSCILLATIONS IN A CLOSED TUBE - CONTINUOUS SOLUTIONS OF A FUNCTIONAL-EQUATION'. Science, 367 :253-270 [Details]
(1977)'EVOLUTION OF NONLINEAR STANDING WAVES IN BOUNDED MEDIA'
MORTELL, MP; (1977) 'EVOLUTION OF NONLINEAR STANDING WAVES IN BOUNDED MEDIA'. Zeitschrift Fur Angewandte Mathematik Und Physik, 28 :33-46 [Details]
(1976)'EXACT SOLUTIONS OF A FUNCTIONAL-EQUATION ARISING IN NONLINEAR-WAVE PROPAGATION'
MORTELL, MP,SEYMOUR, BR; (1976) 'EXACT SOLUTIONS OF A FUNCTIONAL-EQUATION ARISING IN NONLINEAR-WAVE PROPAGATION'. Rna-A Publication of The Rna Society, 30 :587-596 [Details]
(1976)'WAVE-PROPAGATION IN A NONLINEAR LAMINATED MATERIAL - DERIVATION OF GEOMETRICAL ACOUSTICS'
MORTELL, MP,SEYMOUR, BR; (1976) 'WAVE-PROPAGATION IN A NONLINEAR LAMINATED MATERIAL - DERIVATION OF GEOMETRICAL ACOUSTICS'. Rna-A Publication of The Rna Society, 29 :457-466 [Details]
(1975)'PROPAGATION OF PULSES AND WEAK SHOCKS IN NONLINEAR LAMINATED COMPOSITES'
SEYMOUR, BR,MORTELL, MP; (1975) 'PROPAGATION OF PULSES AND WEAK SHOCKS IN NONLINEAR LAMINATED COMPOSITES'. Rna-A Publication of The Rna Society, 42 :832-836 [Details]
(1973)'NONLINEAR RESONANT OSCILLATIONS IN OPEN TUBES'
SEYMOUR, BR,MORTELL, MP; (1973) 'NONLINEAR RESONANT OSCILLATIONS IN OPEN TUBES'. Journal of Fluid Mechanics, 60 :733-749 [Details]
(1973)'STANDING WAVES IN AN OPEN PIPE - NONLINEAR INITIAL-BOUNDARY VALUE-PROBLEM'
MORTELL, MP,SEYMOUR, BR; (1973) 'STANDING WAVES IN AN OPEN PIPE - NONLINEAR INITIAL-BOUNDARY VALUE-PROBLEM'. Zeitschrift Fur Angewandte Mathematik Und Physik, 24 :473-487 [Details]

Other Journals

 YearPublication
(2011)'Resonant oscillations of an inhomogeneous gas between concentric spheres'
Brian R. Seymour, Michael P. Mortell, David E. Amundsen; (2011) 'Resonant oscillations of an inhomogeneous gas between concentric spheres' Proc. Roy. Soc A, . [DOI] [Details]
(2011)'The propagation of small amplitude nonlinear waves in a strongly inhomogeneous medium'
Michael P. Mortell and Brian R. Seymour; (2011) 'The propagation of small amplitude nonlinear waves in a strongly inhomogeneous medium' Mathematics and mechanics of solids, . [DOI] [Details]
(2009)'The evolution of macrosonic standing waves in a resonator'
Michael P. Mortell, Kieran F. Mulchrone and Brian R. Seymour; (2009) 'The evolution of macrosonic standing waves in a resonator' Int. J Eng. Sc, (47) :1305-1314. [Details]
(2009)'Mechanism of synchronization in frequency dividers'
Andreas Amann, Michael P. Mortell, Eoin P. O'Reilly, Michael Quinlan, Dmitrii Rachinskii; (2009) 'Mechanism of synchronization in frequency dividers' IEEE Trans: Circuits and Systems -1 regular papers, 56 (1) :190-198. [Details]
(2008)'Linear and nonlinear frequency shifts in acoustical resonators with varying cross sections'
D.E. Amundsen, E.A. Cox and M.P. Mortell; (2008) 'Linear and nonlinear frequency shifts in acoustical resonators with varying cross sections' J. Acrust Soc. AM, (124(6)) :3381-3385. [Details]
(2007)'Resonant hydraulic sloshing in a tant of variable depth'
B.R. Seymour and M.P. Mortell; (2007) 'Resonant hydraulic sloshing in a tant of variable depth' ZAMP, (58) :818-831. [Details]
(2007)'Resonant oscillations of an inhomogeneous gas in a closed cylindrical tube'
M.P. Mortell and B.R. Seymour; (2007) 'Resonant oscillations of an inhomogeneous gas in a closed cylindrical tube' Discrete and Continous Dynamical Systems, (Series B 7, No. 3) . [Details]
(2007)'Asymptotic analysis of steady solutions of the KdVB equation with application to reasonant sloshing'
D.E. Amundsen, E.A. Cox and M.P. Mortell; (2007) 'Asymptotic analysis of steady solutions of the KdVB equation with application to reasonant sloshing' ZAMP, (58) :1008-1034. [Details]

Other

 YearPublication
(2008)Comment On Linear and Nonlinear Frequency Shifts In Acoustical Resonators With Varying Cross Sections [J. Acoust. Soc. Am. 110, 109-119 (2001)] (L).
Mortell, MP, Seymour, BR; (2008) Comment On Linear and Nonlinear Frequency Shifts In Acoustical Resonators With Varying Cross Sections [J. Acoust. Soc. Am. 110, 109-119 (2001)] (L). Other [DOI] [Details]

Professional Activities

Employment

 EmployerPositionFrom / To
University College Cork (School of Applied Maths) Professor01-JAN-99 /
University College Cork President01-JAN-89 / 01-JAN-99
University College Cork Registrar01-JAN-79 / 01-JAN-89
Dept of Maths, UCC Statutory Lecturer/Associate Professor01-JAN-73 / 01-JAN-79

Education

 YearInstitutionQualificationSubject
1963University College Cork MScMathematical Sciences
1961University College Cork BSCMathematical Sciences
1964Caltech MSApplied Maths
1968Caltech PhDApplied Maths

Contact details

Search profiles by name

Search profiles by topic

School of Biological, Earth and Environmental Sciences

An Scoil Eolaíochtaí Bitheolaíocha, Domhaneolaíocha agus Comhshaoil

University College Cork, Distillery Fields, North Mall, Cork, Ireland T23 N73K

Top