That “whammy” sound is the synth as it transitions between notes. Any synth with portemento/glide can do that.
TubeSynth:
The TubeSynth emulates the sound of classic vintage analog poly-synths packaged with five integrated AIR effects. The instrument is created by AIR and is based on the same advanced analog modelling technology found in their highly acclaimed desktop plugin synth Vacuum Pro. The layout has been carefully designed for easy tweak-ability via the MPC Q-Links. The TubeSynth comes packaged with a comprehensive factory library of cutting-edge presets including sumptuous pads, hard hitting plucks, thunderous basses and screaming lead sounds.
Flexible 3 Oscillator architecture features noise, saw, square, pulse and triangle waveforms.
Two different unison engines offer extended possibilities for thickening the timbre of any patch.
Users can customize the harmonic content of Oscillator 2 using the voice level EQ and Drive parameters.
Lowpass Filter with continuously variable slope with pre and post distortion.
Polyphonic Glide/Portamento for polyphonic pitch slides between chords.
Envelopes included for Filter, Amp with a third specialist ramp envelope that can be assigned to different modulation destinations.
Two LFO’s have Sine, Square, Saw Up, Saw Down, Pump, Sample and Hold and Drift waveforms.
Explore a wide range of timbral possibilities with the Oscillator’s Ring Modulation parameter.
AIR Chorus, Delay, Reverb, Compressor and Hype EQ.
Almost 300 patches provide a wide selection of Synth, Lead, Pluck, Pad, Bass, Organ, FX presets.
Oscillator 1 and 2 Env Shape parameter allows users to modulate the shape of each oscillator with the Filter Envelope
Tubesynth actually has all you need. Take a look at the presets they might even have a similar tone. Basically you’d want to stack some sawwaves, jack the portemento all the way up and play with note repeat or the arp to get that fast transition between the notes. That sound comes from a decent stride between the notes and the portemento transitioning between them so fast.
It’s going to take you a bit to dial that in but it’s not impossible. Play with portemento is the best starting point.